sr mpc date: 04-05-2020 eamcet unit-v time: 3 hours max ...€¦ · 49. equation of the parabola...

Page | 1 EAMCET (ENG): JR GRAND TEST MODEL – 02 00-00-2018

SRIGAYATRI EDUCATIONAL INSTITUTIONS

INDIA

SR MPC Date: 04-05-2020 Time: 3 Hours Max. Marks: 160

Instructions:

For each question, you will be awarded 1 mark if you darken the bubble corresponding to the correct

answer ONLY and zero marks if no bubbles are darkened.

MATHS – A Syllabus: Quadratic equations, Theory of equation, Binomial theorem

1. If , are the roots of 2 2 4 0x x then 5 5

1) 8 2) 32 3) 24 4) 16

2. If 2 25 2 4 10 25 0x m x m m is a perfect square then m =

1) 4, 9 2) 4

3,3

3) 4

8,3

4)

32,

4

3. If , are the roots of 2 1 0x x , then the equation whose roots are 2 2, is

1) 2 2 1 0x x 2) 2 2 1 0x x 3) 2 1 0x x 4) 2 1 0x x

4. The expression 22 4 7x x has minimum value ‘m’ at x = a; the ordered pair ,a m

1) 1, 6 2) 1, 5 3) 1,5 4) 1,5

5. For the equation 2 6 0x x , the roots are

1) One and only one real number 2) Real with sum one 3) Real with sum zero 4) Real with product zero

6. 5 5 5 ......x then

1) x = 5 2) 0 1x 3) 1 2x 4) 2 3x

7. Out of the roots of 2 22 1 0x x one is greater than 4 and the other root is less than 4,

then the limits of are

1) 3 5 2) 3 3) 5 4) 5 6

8. If the roots of the equation 2 2 2 2 22 0a b x bc ad x c d are real then 2 2, ,a bd c are

in 1) AP 2) GP 3) HP 4) AGP

9. The number of integral solution of 2

2

1 12 7 9 0x x

x x

when 0x is

1) 1 2) 2 3) 4 4) 0

10. The maximum value of expression 2

2

1

2 1

x x

x x

for x R , is

1) 7 2 7

7

2)

7 2 7

7

3)

7

3 4)

14 2 7

7

11. The internal values of k for which 2 22 4 1 15 2 7 0x k x k k for all x R

1) 2 2) 3 3) 1 4) 4

12. The harmonic mean of two numbers is 8

5 and their geometric mean is 2. The quadratic

equation whose roots are twice those number is

1) 2 10 16 0x x 2) 2 10 16 0x x 3) 2 5 4 0x x 4) 2 5 4 0x x

13. The value of ‘a’ for which the equations 3 1 0x ax and

4 2 1 0x ax have a common

root is 1) – 2 2) – 1 3) 1 4) 2

EAMCET UNIT-V

S R I G A Y A T R I E D U C A T I O N A L I N S T I T U T I O N S - I N D I A

Page | 2 OUT GOING SR MPC :: EAMCET MODEL 04-05-2020

14. Let satisfy 2 21 6 , 1 6 then, the quadratic equation whose roots are

,1 1

is

1) 28 8 1 0x x 2) 28 8 1 0x x 3) 28 8 1 0x x 4) 28 8 1 0x x

15. In a triangle PQR 4

R

. If tan2

P

and tan2

Q

are the roots of the equation

2 0ax bx c , then

1) a b c 2) 0b c 3) a c b 4) b c

16. If 5 2 is root of 5 4 3 23 4 42 56 27 36 0x x x x x then the rational root is

1) 4

3 2)

3

4 3)

3

4

4)

4

3

17. If , and 1 are the roots of 3 22 5 6 0x x x then ,

1) 3, 2 2) 3,2 3) 3, 2 4) 3,2

18. , , are the roots of 3 0x ax b then 1 1 1

1) a

b 2)

a

b

3)

2

2

a

b 4)

2

2

a

b

19. Whose roots are , ,3 3 3

is

1) 3 26 36 81 0x x x 2) 3 29 6 4 1 0x x x

3) 3 29 6 4 1 0x x x 4) 3 29 6 4 1 0x x x

20. If 3 2 0px qx rx s is a R. E of second type then

1) ,p s q r 2) ,p s q r 3) ,p s q r 4) ,p s q r

21. If , , are the roots of 3 1 0x x then the transformed equation having the roots

1 1 1, ,

1 1 1

is obtained by taking x =

1) 2 1

1

y

y

2)

1

1

y

y

3)

1

2 1

y

y

4)

1

3 1

y

y

22. Number of positive roots of 4 3 23 2 3 0x x x is

1) Zero 2) 2 3) 1 4) 3

23. If the roots of the equation 3 27 14 8 0x x x are a geometric progression then the

difference between the largest and the smallest root is

1) 1

2 2) 2 3) 3 4) 4

24. If , , are the roots of 3 5 4 0x x then 2

3 3 3

1) 12 2) 13 3) 169 4) 144

25. If the roots of 3 2 14 8 0x kx x are in geometric progression then k =

1) – 3 2) 7 3) 4 4) 0

26. If 4 22 13f x x x ax b is divisible by 2 3 2x x then ,a b

1) 9, 2 2) 6,4 3) 9,2 4) 2,9

27. If the coefficients of the equation whose roots are k times the roots of the equation

3 21 1 10

4 16 144x x x , are integers then a possible value of k is

1) 3 2) 12 3) 9 4) 4

28. If the equation 5 4 3 23 5 27 32 12 0x x x x x has repeated roots, then the prime number

that divides the non-repeated root of this equation is

1) 7 2) 5 3) 3 4) 2



29. The coefficient of x4 in the expansion of

621 2x x is

1) – 81 2) – 45 3) 81 4) 91

30. The middle term in the expansion of 2

2 31 3 3n

x x x is

1) 36

3

nn

nC x 2) 2 16

3

nn

nC x

3) 34

3

nn

nC x 4) 3 16

3

nn

nC x

31. In the expansion of 24

75 3 2 the rational term is

1) T14 2) T16 3) T15 4) T7

32. If 2

2

0

1n

nr

r

r

x x a x

then 1 2 3 22 3 ...... 2 . ......na a a n a

1) 0 2) 1 3) n 4) – n

33. Expansion of 5 1

2 1 3x x

is valid of

1) 2 2x 2) 2 2x or x 3) 1

3x 4)

1 1

3 3x

34. If the coefficient of 2 4th

r term and 2th

r terms in the expansion of 18

1 x are equal

then r =

1) 9 2) 4 3) 6 4) 3

35. The coefficient of 2 3 4x y z in 9

ax by cz is

1) 2 3 41260a b c 2) 2 3 41220a b c 3) 2 3 41260a b c 4) 2 3 41220a b c

36. No. of distinct terms in n

a b c d n N is

1) 3

2

n C 2) 3

3

n C 3) 2

3

n C 4) 4

3

n C

37.

43329

5 4

0

r

r

C C

1) 32

4C 2) 35

5C 3) 34

4C 4) 34

5C

38. If 2 2 2

0 1 2 21 ......n

n

nx x a a x a x a x then 0 2 4 2...... na a a a

1) 3n 2) 3 1n 3) 3 1

2

n 4)

3 1

2

n

39. 0 1 23. 7. 11. ...... 3 4 nC C C n C

1) 2 3 2nn 2) 12 1 2nn 3) 12 3 2nn 4) 2 1 2nn

40. The remainder when 7 6 50n n n N is divided by 36 is

1) 22 2) 23 3) 1 4) 21

MATHS – B Syllabus: Circles, System of Circles, Parabola up to tangents and normal.

41. The number of normal to the parabola 2 4y x from (5, 2) is

1) 0 2) 1 3) 2 4) 3

42. The line 1 0x is the directrix of the parabola 2 8 0y kx then one of the value of k is

1) 4 2) 1

4 3) 8 4)

1

8

43. The equation of the parabola is given by 2 8 12 20 0y x y then

1) Vertex= (-2, 6) 2) focus= (0, 6)

3) Latusrectum = 4 4) equation of the axis is x=2



44. Equation of the parabola whose axis is horizontal and passing through the points (-2, 1), (1, 2),

(-1,3) is

1) 25 2 10 20 0y x y 2) 25 2 21 20 0y x y

3) 25 2 21 40 0y x y 4) 23 9 10 15 0y x y

45. The sum of the slopes of the tangents to the parabola 2 16x y from (5, 1) is ‘a’ and the

product of the slopes is ‘b’ then a-b=

1) 1

2 2)

1

4 3) 2 4) 1

46. The straight line 1x y k touches the parabola (1 )y x x if

1) 1k 2) 0k 3) 1k 4) k takes any real value

47. The equation of the common tangent to the parabolas 2 32y x and 2 256x y is

1) 2 32 0x y 2) 2 32 0x y 3) 2 32 0x y 4) 2 32 0x y

48. Equation of the normal to 2 4y x which is perpendicular to 3 1 0x y is

1) 3 33 0x y 2) 3 17 0x y 3) 3 19 0x y 4) 3 27 0x y

49. Equation of the parabola whose latusrectum is 8, equation of the axis and tangent at the

vertex are 1 0x y , 3 0x y respectively is

1) 2( 1) 16 2( 3)x y x y 2) 2( 1) 16( 3)x y x y

3) 2( 3) 8 2( 1)x y x y 4) 2( 1) 8 2( 3)x y x y

50. If the equation 2 2 2

25 5 3 3 4 1x y x y

represents a parabola then its axis is

1) 4 3 10 0x y 2) 4 3 15 0x y

3) 4 3 29 0x y 4) 4 3 17 0x y

51. If PSQ is the focal chord of a parabola such that SP=2 and SQ=4 then the length of the

latusrectum is

1) 8

3 2)

16

3 3)

25

3 4)

4

3

52. Equation of the two tangents drawn from (1, 4) to the parabola 2 12y x are

1) 3 0,3 1 0x y x y 2) 1 0, 2 4 0x y x y

3) 2 2 0, 3x x y 4) 1 0, 2 4 0x y x y

53. The area of the triangle formed by the normal to the parabola 2 16y x whose slope is 1

2

with the co-ordinate axes is

1) 9

4 2)

27

4 3)

54

4 4)

81

4

54. The angle between the tangents drawn to the parabola 2 4y x from the point (1, 4) is

1) 4

2)

3

3)

2

5

4)

6

55. If (-1,-1) is the focus and 4 0x y is the directrix of a parabola, then its vertex is

1) 3 3

,2 2

2) 5 5

,2 2

3) 1 1

,4 4

4) 1 1

,4 4

56. For the circles2 2 2 22 0, 2 0x y x c x y x c , the number of common tangents

1) 1 2) 2 3) 4 4) 0

57. A circle ‘C’ of radius 3 units rolls outside the rim of the circle2 2 4 6 12 0x y x y , then

locus of the Centre of the circle C is

1) 2 2 4 6 4 0x y x y 2) 2 2 4 6 51 0x y x y

3) 2 2 4 6 9 0x y x y 4) 2 2 4 6 7 0x y x y



58. There are two circles whose equations are 2 2 9x y and 2 2 28 6 0x y x y n , n z . If

the two circles have exactly two common tangents then the number of possible value of ‘n’ is 1)2 2)8 3)9 4) 5

59. If the equation of the circle whose one diameter is the common chord of the circles 2 2 4 2 4 0x y x y and 2 2 2 4 4 0x y x y is 2 2 0x y ax by c then a b c

1) 4 2) -4 3) -8 4) -2

60. If the radical axis of the circles 2 2 2 2 0x y gx fy c and 2 22 2 3 8 2 0x y x y c

touches the circle 2 2 2 2 1 0x y x y then 4 3 2g f =

1) 2 2) 1 3) -1 4) 0

61. The equation of the circle which cuts the circles 2 2

1 4 0s x y ,

2 2

2 6 8 10 0s x y x y , 2 2

3 2 4 2 0s x y x y at the extremities of diameters of

these circles is

1) 2 2 4 6 4 0x y x y 2) 2 2 4 4 4 0x y x y

3) 2 2 25x y 4) 2 2 1 0x y x y

62. The equation of a circle passing through the point of intersection of the circles 2 2 4 6 12 0x y x y , 2 2 6 4 12 0x y x y and having radius 13 is

1) 2 2 2 12 0x y x 2) 2 2 2 12 0x y y

3) 2 2 2 13 0x y y 4) 2 2 2 12 0x y x

63. If a circle S passing through the point (3, 4) cuts the circle 2 2 36x y orthogonally, then the

locus of the Centre of S is

1) 2 2 6 8 11 0x y x y 2) 2 2 8 6 11 0x y x y

3) 6 8 61 0x y 4) 6 8 11 0x y

64. If the coordinates of the Centre of the circle are roots of the equation 26 5 1 0x x and

radius is 5

6 then its equation is

1) 2 2 3 2 1 0x y x y 2) 2 23 3 3 2 1 0x y x y

3) 2 23( ) 3 2 1 0x y x y 4) 2 2 3 2 1 0x y x y

65. If 2 24 5 6 1 0a b a and the line 1 0ax by touches the fixed circle then

1) The centered circles is (4, 0) 2) The radius of the circle is 5

3) The circle passes through origin 4) None of the above

66. 2 2 4 6 4 0x y x y is the equation of the in circle of an equilateral triangle, then the

equation of the circumcircle of the triangle is

1) 2 2 4 6 23 0x y x y 2) 2 2 4 6 23 0x y x y

3) 2 2 4 6 23 0x y x y 4) None of the above

67. Two straight rods of length 2a and 2b move along the coordinate axes in such a way that their extremities are always concyclic. Then the locus of the centers of such circles is

1) 2 2 2 22 2x y a b 2) 2 2 2 22 2x y a b 3) 2 2 2 2x y a b 4) 2 2 2 2x y a b

68. The equation of the circle whose radius if 3 and which touches internally the circle 2 2 4 6 12 0x y x y at the point (-1,-1) is

1) 2 25 5 9 6 7 0x y x x 2) 2 25 5 8 14 32 0x y x y

3) 2 25 5 6 8 8 0x y x y 4) 2 25 5 6 8 12 0x y x y

69. The point of intersection of the common tangents drawn to the circles 2 2 4 2 1 0x y x y

and 2 2 6 6 4 0x y x y is

1) 5 3

,2 2

2) 6 1

,5 5

3) 0, 1 4) 12 7

,5 5



70. The line 3 4 5 0x y cut the curve 2 22 3 5x y at A and B if ‘O’ is the Origin, the

AOB

1) 6

2)

3

3)

2

4)

8

71. Let A be the Centre of the circle 2 2 2 4 20 0x y x y . If the tangents drawn at the points

B(1,7) and D(4,-2) on the given circle meet at the point C, then the area of the quadrilateral

ABCD is

1) 60 2) 65 3) 70 4) 75

72. If 4 0x ky and 5 0x y are conjugate lines with respect to the

circle 2 2

1 1 3x y , then k=

1) 1 2) 2 3) 3 4) 4

73. The equation of a circle touching the coordinate axes and the line 3 4 12x y is

1) 2 2 6 6 9 0x y x y 2) 2 2 6 6 9 0x y x y

3) 2 2 6 6 9 0x y x y 4) 2 2 6 6 9 0x y x y

74. The equation of the circle whose radius is 4, centre lies in the first quadrant and which

touches x-axes, line 4 3 0x y is

1) 2 2 4 16 4 0x y x y 2) 2 2 8 4 16 0x y x y

3) 2 2 16 8 64 0x y x y 4) 2 2 4 8 4 0x y x y

75. The equation of the circles which pass through the origin and makes intercepts of lengths 4

and 8 on the X-axis and Y-axis respectively are

1) 2 2 4 8 0x y x y 2) 2 2 2 4 0x y x y 3) 2 2 8 16 0x y x y 4) 2 2 0x y x y

76. If the tangent at the point P on the circle 2 2 6 6 2x y x y meets the straight line

5 2 6 0x y at a point Q on the Y-axis then the length of PQ is

1) 2 5 2) 3 5 3)4 4)5

77. The radius of the circle passing through the point (6,2) and having 6x y as a normal and

2 4x y as a diameter is

1) 10 2) 2 5 3) 5 5 4) 4 5

78. The tangent at any point P on the circle 2 2 2x y cuts the axes in L and M. The locus of

middle point of LM is

1) 2 2

1 12

x y 2)

2 2

1 1 1

2x y 3)

2 2

1 11

x y 4)

2 2

1 14

x y

79. If the points , 2,3 , 3,2 , , 0, ,0 0 k k k are concyclic then k =

1) 5

13 2)

13

6 3)

5

6 4)

13

5

80. The polar of the point 2, 4 with respect to the circle 2 23 3 2x y divides the line segment

joining 1,2 and 5,4 in the ratio.

1) 8:5 2) 8:5 3) 5:8 4) 5:8

PHYSICS Syllabus: Electric charges and fields, Electro static potential and capacitors, Current Electricity

81. If a body is charged by rubbing, its weight 1) Remains precisely constant 2) Increases slightly

3) Decreases slightly 4) May increase slightly or may decrease slightly

82. When a brass plate is introduced between two charges, the force between the charges

1) Decreases 2) Increases 3) Remains same 4) Becomes zero



83. The electric force between two electrons and the gravitational force between them bear a ratio

of the order of 1) 1042 2) 1036 3) 10

39 4) 1019

84. The pair of particles which experience same force in a uniform electric field is

1) Electron and proton 2) Proton and deuteron

3) Deutron and alpha particle 4) All the above

85. The path of a charged particle projected into a uniform transverse electric field is

1) Circle 2) Hyperbola 3) Parabola 4) Ellipse

86. If 10 million electrons are removed from a neutral body, then the charge on the body is

1) 121.2 10 C 2) 121.6 10 C 3) 131.6 10 C 4) 1210 C

87. The force between two charges 2 C and is 4 C is 24, when they are separated by a certain

distance in free space. The force if (a) distance between them is doubled and (b) distance is

halved are 1) 16N, 80N 2) 8N, 72N 3) 6N, 96N 4) 10N, 68N

88. A force ‘F’ is acting between two charges in air. If the space between them be completely filled

with medium having a dielectric constant K= 4, the force will be

1) F 2) 4F 3) 4

F 4) 2F

89. A sphere of radius 1 m encloses a charge of 5 C . Another charge of 5 C is placed inside the

sphere. The net electric flux would be 1) Double 2) Four times 3) Zero 4) Three times

90. A charge Q is divided into two parts 1q and 2q such that they experience maximum force of

repulsion when separated by certain distance. The ratio of Q, 1q and 2q is

1) 1 : 1 : 2 2) 1 : 2 : 2 3) 2 : 2 : 1 4) 2 : 1 : 1

91. Two charges of 50 C and 100 C are separated by a distance of 0.6m.The intensity of electric

field at a point midway between them is

1) 650 10 V m 2) 65 10 V m 3) 610 10 V m 4) 610 10 V m

92. An infinitely long thin straight wire has uniform linear charge density of 11

3cm . Then the

magnitude of the electric intensity at a point 18cm away is

1) 11 10.33 10 NC 2) 11 13 10 NC 3) 11 10.66 10 NC 4) 11 11.32 10 NC

93. Potential at the point of a pointed conductor is

1) Maximum 2) Same as at any other point

3) Zero 4) Minimum

94. On the perpendicular bisector of an electric dipole, the electric intensity E and potential V are

1) 0, 0E V 2) 0, 0E V 3) 0, 0E V 4) 0, 0E V

95. If an earthed plate is brought near positively charged plate, the potential and capacity of

charged plate

1) increases, decreases 2) decreases, increases 3) decreases, decreases 4) increases, increases

96. The capacitance of a parallel plate condenser depends upon 1) area of the plates 2) medium between the plates 3) distance between the plates 4) all of the above

97. A capacitor works in

1) A.C. Circuits 2) D.C. circuits 3) Both the circuits 4) Neither in A.C nor in D.C. circuits

98. The potential energy of a proton is 183.2 10 J at a particular point. The electric potential at

this point is

1) 5V 2) 10V 3) 20V 4) 15V

99. Two protons are at a distance of 100.53 10 m . The potential energy of the system in eV is

1) + 13.6 2) + 27.2 3) + 6.8 4) + 20.4



100. The capacity of a parallel plate condenser is 10μF without dielectric. Dielectric constant of 2 is

used to fill half thickness between the plates the capacitance is ........ μF

1) 10 2) 20 3) 15 4) 13.33

101. Sixty four spherical drops each of radius 2cm and carrying 5C charge combine to form a

bigger drop. Its capacity is

1) 11810

9F 2) 1190 10 F 3) 111.1 10 F 4) 119 10 F

102. The potential difference across 3μF condenser is

1) 40 Volt 2) 60 Volt 3) 80 Volt 4) 120 Volt

103. A thin metal plate M is inserted between the plates of a parallel plate capacitor as shown in

figure. The new capacitance if initial capacitance is ‘C’

1) 2

C 2) 2C 3) 0 4) Infinity

104. Two spheres of radii 12 cm and 16 cm have equal charge. The ratio of their energies is

1) 3 : 4 2) 4 : 3 3) 1 : 2 4) 2 : 1

105. In the arrangement of capacitors shown in the figure, if each capacitor is 9pF, then the

effective capacitance between the points A and B is

1) 10pF 2) 15pF 3) 20pF 4) 5pF

106. Material used for heating coils is

1) Nichrome 2) Copper 3) Silver 4) Manganin

107. The resistance of wire is R. Resistance of another wire of twice the length and twice the

diameter is

1) R 2) 4R 3) 2

R 4) 8R

108. Among the following dependences of drift velocity dV on electric field E. Ohm’s law obeyed is

1) dV E 2) 2

dV E 3) dV E

4) tandV Cons t

109. Back emf of a cell is due to

1) Electrolytic polarization 2) Peltier effect

3) Magnetic effect of current 4) All of the above

110. Temperature coefficient of resistance ‘a’ and resistivity ‘r’ of a potentiometer wire must be

1) High and low 2) Low and high 3) Low and low 4) High and high



111. If the electron in H2 atom makes 6.25x1015

rev/sec, the current is

1) 1A 2) 10-1

A 3) 1mA 4) 1 A

112. Four wires made of same material have different lengths and radii. The wire having more

resistance in the following is

1) l = 100cm, r = 1mm 2) l = 50cm, r =2mm 3) l = 100cm, r = 1/2mm 4) l= 50cm, r =1/2mm 113. The equivalent resistance between A and B if each resistance is equal to 20 ohm is

1) 10 2) 32 3) 20 4) 26.67

114. An ammeter A is connected as shown in the diagram. Ammeter reading is

1) 2E

r 2)

5E

r 3)

E

r 4)

2

E

115. 20 Cells each of 6V are connected in series. The emf of the combination is found to be 96V.

How many cells are connected wrong? 1) 2 2) 4 3) 6 4) 12

116. The sequence of bands marked on a carbon resistor is brown, black, brown and gold. What is

the value of the resistance?

1) 1 11 2) 10 10 3) 100 5% 4) 1000 5%

117. A house is fitted with ten lamps of each 60W. Each lamp burns for 5 hours a day on an

average. The cost of consumption in a month of 30 days at 2 rupees 80 paisa per unit is 1) Rs = 152 2) Rs = 252 3) Rs = 352 4) Rs = 452

118. P.D between A&B in the given branch of a circuit is

1) 6V 2) 12V 3) 9V 4) 0V

119. The resistances of 2 potentiometer wires of equal lengths are 2 and 4 respectively. If the

currents flowing through them is same, the ratio of potential gradient is 1) 1 : 2 2) 2 : 1 3) 1 : 3 4) 1 : 1

120. A constant potential difference is applied between the ends of the wire. If the length of the

wire. If the length of the wire is elongated 4 times, then the drift velocity is electrons will be 1) Increases 4 times 2) Decreases 4 times 3) Increases 2 times 4) Decreases 2 times



CHEMISTRY Syllabus: Solutions, Solid state, Electro chemistry and Chemical kinetics and Surface chemistry

complete.

121. 200 ml of a solution of Barium Hydroxide contains 171.4 mg of solute. The molarity of the

solution will be (M.Wt of Ba (OH)2 = 171.4)

1) 25 10 M 2) 0.5 M 3) 35 10 M 4) 45 10 M

122. Equivalent weight of 2 2 7K Cr O in Acidic medium is (M= mol.wt)

1) 5

M 2)

6

M 3) M 4)

3

M

123. The molality of 10 % w

w

NaOH solution is

1) 2.77 m 2) 5.54 m 3)0.0025 m 4) 2.5 m

124. The mole fractions of water and methanol In a solution containing 1 mole of water and 4

moles of methanol are

1) 0.2&0.8 2) 0.8&0.2 3) 1 1

&18 8

4) 1 1

&8 18

125. Which one of the following is an isotonic pair of solutions?

1) 0.5 M NaCl and 0.1 M Na2SO4 2) 0.2 M urea and 0.1 M sugar

3) 0.1 M BaCl2 and 0.2 M Urea 4)0.2 M MgSO4 and 0.1 M NH4Cl

126. For a very dilute aqueous solution of 4 6K Fe CN vant hoff factor is

1) i = 11 2) i = 5 3) 1

11i 4) i = 10

127. Solutions containing 6% glucose & 2% of X have the same lowering of vapour pressure. The

molecular weight of ‘X’ is

1) 30 2) 40 3) 50 4) 60

128. An Aqueous solution freeze at -0.186˚ C (Kf=1.86 Kb=0.512) what is the Elevation in Boiling

point?

1) 0.186 2) 0.512 3) 0.86 4) 0.0512

129. The packing fraction in a face – centered cube cell of crystals is

1) 3

8a 2)

6

3)

2

6 4)

1

2 2

130. Which of the following system has/have not been correctly characterized?

1) Cubic a b c 90 2) tetragonal a b c 90

3) Orthorhombic a b c 90 4) a b c 90

131. Which of the following is a Berthollide Compound?

1) MgO 2) AhO3

3) Na2O

4) ZrH

132. In Solid has a Structure in which ‘W’ at are located at the corner of the unit cell ‘O’ atoms

are located at the cube edge and ‘Na’ atoms at the cube centers. The form of the compound is.

1) 2 3Na WO 2) 3NaWO 3) 2 2 4Na W O 4) 2 3Na W

133. A metal has a body – centered cubic lattice and the length of the unit cell is 3 A˚. If the densits

is 10 gm. /cc calculate its Atomic weight

1) 27 2) 81 3) 40.5 4) 162

134. Potassium crystalizes in a BCC lattice hence the co-ordination number of potassium in

potassium metal is

1) 0

2) 4 3) 6 4) 8



135. Copper cry stallises in a F.C.C lattice the length of the unit cell is 3.63 A˚. The radius of Cu-

atom is

1) 0.6 A˚ 2) 2.9 A˚ 3) 1.28 A˚ 4) 5.7 A˚

136. One Ampere of current is passed for 9650 seconds through molten 3AlCl . What is the weight

in grams of ‘Al’ deposited at cathode (Atomic weight of Al = 27)

1) 0.9 2) 90 3) 0.09 4) 90.0

137. The values eq

for 4NH Cl , NaOH and NaCl respectively 149.74, 248.1 and 126. 1ohm 2cm

1equ . The value of eq

of 4NH OH

1) 371.44 2) 271.4 3) 1.44 4) 71.44

138. The charge required for the oxidation of one mole of 3 4Mn O to 2

4MnO in alkaline medium is

(assume 100 % current efficiency)

1) 10

3F 2) 6 F

3) 10 F 4) 4 F

139. For cell reaction is 2 2

( ) ( ) ( ) ( )s aq s aqMg Cu Cu Mg If the S.R.P values of Mg and Cu are 2.37 V

and + 0.34 V respectively. The emf of the cell is

1) +2.03 V 2) -2.03 V 3) +2.71 V 4) -2.71 V

140. 2 0.76zn

zn

E V

The EMF of the cell 2 22 1HznM HCl P H atom

zn

Pt is

1) 0.878 V 2) 0.642 V

3) -0.878 V 4) 0.701 V

141. The rate expression for a reaction is 31

22dx

K A Bdt

the overall order of the reaction is

1) 2 2)

1

2 3)

3

2 4) 1

142. The hydrolysis of Ethyl acetate 3 2 5 2 3 2 5

NCH COOC H H O CH COOH C H OH

is a

reaction of

1) Pseudo first order 2) Second order 3) Third order 4) Zero order

143. Thresholds energy (TE), Internal Energy of reactant (IE) and energy of Activation (AE) are

related as

1) AE TE IE 2) TE AE IE 3) IE AE TE 4) TE AE IE

144. For a first order reaction, the half lib is equal to

1) 0.693 x K 2) 0.693

k 3)

0.693

k 4)

2.303

k

145. The rate of the reaction at 40˚C is 5 units the ratio of same reaction at 80˚C is (temperature

co-efficient is 2)

1) 10 units 2) 80 units 3) 20 units 4) 625 units

146. For a reaction 2A B C D

2d A

K A Bdt

. The expression for

d B

dt will be

1) 2

K A B 2) 21

2K A B 3)

22K A B 4) 2K A B

147. The unit of rate constants obeying the rate expressions 2

13r k A B is

1) 2 2

13 3moles lites tim

2) 2 2

13 3moles lites tim

3) 5 2

13 3moles lites tim

4) None

148. As lead storage battery is charged.

1) Lead dioxide dissolver

2) Sulphuric acid regenerated

3) Lead electrode becomes coated with lead sulphate

4) The concentration of sulfuric acid decreases



149. Aluminum oxide may be electrolyzed at 1000˚C to furnish aluminum metal.

(Atomic mass = 27 amu, 1 Faraday =96500 columns)

The cathode reaction is 3 3Al e Al

To prepare 5.12 kg of Aluminum metal by this method would require.

1) 15.49 10 C of electricity 2) 45.49 10 C of electricity

3) 71.83 10 C of electricity 4) 75.49 10 C is electricity

150. Total volume of gases evolved at STP when 36 g of 2H O are completely electrolyzed between

platinum electrode

1) 22.4 lit 2) 44.8 lit 3) 33.6 lit 4) 67.2 lit

151. Catalyst used in the manufacture of 3HNO by Ostwald’s process is

1) Rb 2) Pd 3) Fe 4) Pt

152. In which of the following reactions a catalyst is required

1) 2 2S O SO 2) 2 2C O CO 3) 2 2 32 2SO O SO 4) All of the above

153. The catalyst used in the hydrogenation of oil is

1) 2 5V O 2) Pe 3) Co 4) Ni

154. Which is an aerosol?

1) Cloud 2) Blood 3) Milk 4) Gold Sol

155. Which cannot act as emulsifier?

1) Soap 2) Egg albumin 3) Gelatin 4) Water

156. Gold sol is

1) Aerosol 2) aquasd 3) lyophilic sol 4) emulsion

157. According to freundlich adsorption isotherm which of the following is correct

1) x

Pm 2) 1x

Pm 3)

1

nx

Pm 4) All of the above

158. For coagulation of Arsenious Sulphide so which one of the following salt solution will be most

effective.

1) 3 4Na PO 2) 3AlCl 3) 2BaCl 4) NaCl

159. Zeolite takes up a gas by

1) Adsorption only 2) absorption only 3) sorption 4) dissorption

160. Freundlisch adsorption isotherm in the logarithmic forms is

1) 1

log log logx

P kn m

2)

1log log log

xk P

n m

3) 1

log log logx

k Pm n

4)

1log log log

xP k

m n



KEY SHEET

MATHS – A

1 2 2 3 3 3 4 3 5 3 6 4 7 1 8 2 9 1 10 1

11 3 12 1 13 1 14 3 15 1 16 1 17 1 18 1 19 2 20 2

21 2 22 3 23 3 24 4 25 2 26 3 27 2 28 3 29 2 30 1

31 3 32 4 33 4 34 4 35 3 36 2 37 4 38 4 39 1 40 2

MATHS – B

41 3 42 1 43 2 44 2 45 4 46 2 47 3 48 1 49 4 50 3

51 2 52 1 53 4 54 2 55 1 56 2 57 2 58 3 59 1 60 4

61 1 62 4 63 3 64 2 65 2 66 2 67 4 68 2 69 3 70 3

71 4 72 1 73 3 74 3 75 1 76 4 77 2 78 1 79 4 80 2

PHYSICS

81 4 82 4 83 1 84 1 85 3 86 2 87 3 88 3 89 3 90 4

91 2 92 1 93 2 94 3 95 2 96 4 97 3 98 3 99 2 100 4

101 1 102 3 103 4 104 2 105 2 106 1 107 3 108 1 109 1 110 2

111 3 112 3 113 2 114 1 115 1 116 3 117 2 118 1 119 1 120 2

CHEMISTRY

121 3 122 2 123 1 124 1 125 1 126 2 127 4 128 4 129 3 130 3

131 4 132 2 133 2 134 4 135 3 136 1 137 2 138 3 139 3 140 2

141 1 142 1 143 2 144 2 145 2 146 2 147 1 148 2 149 4 150 4

151 4 152 3 153 4 154 1 155 4 156 2 157 4 158 4 159 3 160 4

HINTS & SOLUTIONS

MATHS – A

1. Roots 22 , 2w w

555 5 22 2w w

5 22 32 1 32w w

2. 4

0 8,3

m

3. 0f x

4. 4

12 4

ba

a

5. 20 6 0 3,2x x x x

20 6 0 3, 2x x x x

6. 2 5 5 5 ......x

7. Roots = 22 4 4 1

12

1 4, 1 4 1 4, 1 4or

3 5 3, 5or

Not possible

8. 2 2

0ax d bx c

0 and 0ac d bx c

d c

x ac bca b

2 2

ac bd

9. Put 212 2 7 9 0x t t t

x



5

1,2

t

5

22

If t x

10. 2

2

1

2 1

x xy

x x

2 2 1 1 1 0x y x y y

2 4 0b ac

7 2 7

2y

7 2 7

2Maxvalue

11. Disc < 0

2 6 8 0k k

2 4 0k k

12. 2 8

, 25

abab

a b

5, 4a b ab

1, 4a b

13. 3 1 0 1x ax

4 2 1 0 2x ax

X = 1 is the common root

2a

14. , are the roots 2 6 1 0x x

6 1

Sum of the roots = 2 6 8

11 6 1 8

P. f

1 1

1 1 6 1 8

The equation is 28 8 1 0x x

15. tan tan2 2

P Q b

a

tan .tan2 2

P Q c

a

16. Roots are

5 2, 5 2, 2 5, 2 5

Sum of the roots = 4

3

17. 1, 6 3, 2

18. 0

1 1 1 1

a a

b b

19. 3 0f x

20. Let ,p s q r

21. 1 1

;1 1

xy y

x

1

1 ;1

yy x xy x

y

22. f x

Maximum number of +ve roots = 1

23. Roots 1, 2, 4

Largest – smallest = 4 – 1 = 3

24. 3 5 4 0 0x x

1 2 30, 5, 4s s s

3 3 3 3

2 23 3 3 9

2

9 4 16 9 144

25. , ,a

a arr

are roots

3 3

3 . . 8 2 2a

s a r a ar

2 0 7f k

26. 1, 2x x are the factors of f x

1 0, 2 0f f

, 9,2a b

27. 0 12x

f kk

28. 11 0, 1 0f f 1 is repeated root

2 Then 2 1 0x x

( 5 4 3 2 3 5 27 32 12 0 Then x x x x x

devide 2 2 1 0 by symthetic x x )

By symthetic division we get

3 2 8 12 0 and f x x x x

1 23 2 8 0f x x x

4

2,3

x

0 2 is repeated root f x

1 1 2 2 3

3

Divided by 3 Prime number

29. 6 56 6 2

0 11 1 2C x C x x

246 2

2 1 2C x x

4Coefficient of is x

6 5 6 4

2 2 2 06 2 4 45C C C C



30. If n is even the middle term is 12

thn

term

31.

241 1

24 5 73 2 14

r r

rC r

32. Differentiate and put x = -1

33. Values of x for which 12

x and 3 1x

satisfies

34. 18 18

3 3 3r rC C

35. Coefficient of p q rx y z in

!

! ! !

n p q rnax by cz a b c

p q r

36. n

a b c d no. of distinct terms 3

3

nC

formula

No. of terms in 1 2 ......n

rx x x is

1

1

n r

rC

37. 29 29 30 31 32 33

5 4 4 4 4 4C C C C C C

1

1

n n n

r r rC C C

formula

38. 1 1

2

f f

39. 0 1 23 7 11 ...... 3 4 nC C C n C

3 4a d

2 1

2n

Formula a nd

16 4 2nd

2 3 2nn

40. 7 6 50n n

1 6 6 50n

n

1 6 36 6 50n Integer n

36 49 23 23Integer

36 23Integer

MATHS – B

41. a=1

Equation of the normal at ‘t’ is 32y xt at at ---------(1)

Sub (5,2) in (1)

3 3 2 0t t

1,1,2t

Number of normal = 2

42. 2 8 0y kx

2 8y k x

k

Equation of directrix is 8

4

kx

k

8

14

k

k K=4,-8

43. 2

6 8 2y x

Focus = (a + h, k) = (0, 6)

44. By verification sub. The points in options

45. 11 2

xm m

a , 1

1 2

ym m

a

46. Solving 1x y k and 1y x x

2 2 1 0x x k

0

47. 2 32y x , 2 256x y

8, 64a b

1 1 23 3 3 0a x b y ab

48. 1, 3 1 0a x y

Slope = 1

3

Slope =Perpendicular m = 3

Eq. of the normal is 32y mx am am

49. 1 4 8LL a

(Perpendicular distance from 1 1,P x y to

axis)2

= L.L.R (Perpendicular distance from P to

the tangent at vertex)

50. 5,3S , equation of directrix is

3 4 1 0x y axis is perpendicular to

directrix and passes through 5,3S

1 1 0b x x a y y

51. 1 1 1

SP SQ a

4

3a

L.L.R = 4a

52. Equation of the tangent 3

y mxm

it

passes through (1, 4)



3

4 mm

m = 1, 3

53. 2 16y x

4a

1

2m

Equation of the normal is 32y mx am am

2 9 0x y

2

2 | |

carea

ab

54. Equation of the tangent a

y mxm

passes

through (1, 4)

2

2

4

1

4 1 0

y x

a

m m

2 3m

1 22 3, 2 3m m

1 2

1 21

m mTan

m m

3

3

Tan

55. er Distance from focus to the directrix

2

1 1 42

r

2 2

1

2

a

a

By verification the distance from vertex to

focus 1

2a

56. The two circles intersecting orthogonally

So number of common tangents = 2.

57. 2 2 4 6 12 0x y x y

4 9 12 5radius

2, 3 , 5 3 8c r

2 2

2 3 64x y

58. 1 2 1 2c c r r

59. 2 2 4 2 4 0x y x y x y

Sub 4 2

,2 2

c

in

2 2

0

3

4 0

1 1 4 4

x y

x y x y

a b c

60. The equation of R.A of the circles is

4 3 4 8 0g x f y ----- (1)

Eq.(1) is tangent to 2 2 2 2 1 0x y x y

2 2

4 3 1 4 8 11

4 3 4 8

g f

g f

4 3 2 0g f

61. Required circles bisects circumference of

three circles (Centre lies on common

chord)

62. Radical axes is 0x y

Req. equation is

2 2 4 6 12 0x y x y x y ---(1)

4 6

,2 2

c

Given 13r

2 24 6

12 132 2

2 10 24 0

4,6 6sun in (1)

63. 1 1, ,g f x y

1 1 12 2gg ff c c

C = - 36

2 2 2 2 36 0x y gx fy

3,4

6 8 61 0

6 8 61 0

sub

g f

x y

64. The roots of 26 6 1 0x x are 1 1

,2 3

Centre 1 1

,2 3

or 1 1

,3 2

Required circles is

2 21 1 25

2 3 36x y

65. 2 24 5 6 1 0a b a

2 24 6 1 5a a b

2 2 29 6 1 5 5a a b a



22 2 23 2 3 1 1 5a a a b

2 2 23 1 5a a b

2 2

3 15

a

a b

---- (1)

1 0ax by Touches the circle

err Distance from c(h,k) to line

1 0ax by

2 2

1ah bkr

a b

---- (2)

From (1) & (2) c(3,0), 5r

66. 2 2 4 6 4 0x y x y is the in circle

2,3 , 3c r

In Triangle ACE

330

1 3

2

6

( 2,3)

SinAC

AC

R AC

c

2 2 22 3 6x y

67.

Since the ends of rods are concyclic

OA.OB=OC.OD

x a x a y b y b

2 2 2 2x y a b

68. Equation of the circles

2 2 4 6 21 0x y x y

1 12,3 , 5c r

Let 2 2, , 3c h k r

2 1 2 12 ,

mx nx my nyc

m n m n

2

4 7, ,

5 5c h k

2 24 7

95 5

x y

69. 1 12,1 , 2c r

2 23,2 , 3c r

1 2 2c c

1 2 1 2 1 2r r c c rr

Point of intersection is the external centre.

70. Homogenise

2

2 2 3 42 3 .5 0

5

x yx y

2 2 24 0x y xy

0

90

a b

71. 1,2 1,7 4, 2A B D

Tangent at (1,7) to the circle is y=7

Tangent at (4,-2) to the circle is x=16

C (16,17)

31 2 4 1

31 2 4 1

1

2

xx x x xAver

yy y y y

72. 21 2 1 2 1 1 1 2 2 2r l l m m l g m f n l g m f n

73. Given line 3 4 12 0x y

By verification r d

2 2 6 9 0x y x

3, 3r d

74. centre = (h , 4)

Verify r = d

75. 2 2 2 2 0x y gx fy c ---- (1)

Sub (0, 0) in (1) 0c

Given 22 4

2

g c

g

Given 22 8

4

f c

f

2 2 4 8 0x y x y

76. Put 0x in 5 2 6 0x y



3

0,3

y

Q

PQ =Length of tangent from (0, 3)

11s

77. Solve normal and diameter

C = Centre = (8,-2)

A (6, 2)

R = CA

78. 1 1 10 2S xx yy

1 1

2 2,0 , 0,A B

x y

Locus point 2 2,x y mid-point of AB

2 2

1 1

1 1, ,x y

x y

1 1

2 2

1 1,x y

x x

2 2

2 2

1 12

x y

2 2

1 12

x y

79. The equation of the circle passing through

0,0 , , , ,a b b a is

2 2

2 20

x y x y

a b a b

80. 1 0S

In the ratio = -L11: L22

PHYSICS

81. Conceptual

82. Conceptual

83. Conceptual

84. Conceptual

85. Conceptual

86. Q ne

87. 2

1F

r

88. 1

4

F FF

K

89. 0

netE

q

90. 1 22

Qq q

91.

1 2

2 2

0

1

4 2 2

q qE

r r

92. 02

E r

121; 18 10

3R

93. Conceptual

94. Conceptual

95. Conceptual

96. Conceptual

97. Conceptual

98. w vq

w

vq

99. 1 2

0

1

4

q qu

r

100. 0 AC

td t

k

02,A

k Cd

101. 1

1 3C n C

04C R

102. 12

1 2

VCV

C C

103. V = 0

104. 2

2

qU

C

105. Parallel and series combination

106. Conceptual

107. Conceptual

108. Conceptual

109. Conceptual

110. Conceptual

111. 2

qwi

112. 2

1R

l

113. Series and parallel combination

114. 5

eff

rR

5E

iR

1 2Ei

R

115. 1 2E n m E



116. Conceptual

117. 10 60 5 30

No. of units 901000

units

cos 90 2.8 252c

118. 2 4 3 6 0A BV V

119. V

RL

120. 1

dVl

CHEMISTRY

121. 1000G

MGMW V

G=171.4 mg

V=200 ml

3

13

171.4 10005 10

171.4 10 200M M

122. 2 3

2 7 2Cr O Cr

. .

.G M W

EWtChangeofoxidationstate

123. 10%w

NaOHw

means

10 grams of NaOH present in 90 grams of

solvent.

. 1000

. . . .

wt ofsolutem

G M W ofsolute wt ofsolvent

10 1000 0.25 100

2.7740 90 9

m

124. 2 3

? ?H O CH OHx x

2

2

2 3CH OH

H O

H O

H O

nx

n n

0.25

l

Total mole fraction 2 3

1H O CH OHx x

3 2

1CH OH H Ox x

=1-0.2

=0.8

125. 2 4NaCl Na SO

2 0.15 3 0.1

0.3 0.3

iMRT iMRT

126. 4 6 64k Fe CN k Fe CN

=4+1

i=5

127. Two solutions having same LV.P so

cosGlu e xn n

2 180

606

x

128. 0.186

?

Tf C

Tb

1.86

0.512

f

b

K

K

f

b

KTf

Tb K

0.186 0.512

0.05121.86

b

f

K TfTb

K

129. Conceptual

130. Conceptual

131. Conceptual

132. Corner Edge Centre

Atom W O Na

Present 8 12 1

Shared by 1

8

1

4 1

atom

So. No. of 1

88

1

124

1x1

Atom

1 1 3NaW O

133. BCC Cubic lattice

A=3A˚

D=10 gm/cc

Atomic weight (M)=?

3

0

2Md

N a

3

23 80

210

6.023 10 3 10

M

23 20

110 6.023 10 27 10813 10

2M

81.3gm

134. Conceptual

135. In Fcc

2 1.4143.63 1.28

4 4r a A A

136. . 27 1 9650

96500 3 96500

M wt c tm

valency

0.9gm

137. 4 149.74eqNH Cl 1ohm 2cm 1equ

248.1eqNaOH 1ohm 2cm 1equ

126.4eq NaCl 1ohm 2cm 1equ



eq

of 4NH OH =?

4 4NH OH NH Cl NaOH NaCleq eq eq eq

=149.74+248.1-126.4

=271.40

138. Change in O.N per mole of

3 4 10Mn O

1 mole of 3 4 10Mn O eq

=10F

139. 0.34 2.37

0.34 2.37

2.71

o

ceu Cathode AnodeE E E

y

Note: Electrode with lower SRP is always

taken by anode (LHS)

140. 0.0591

logE E Kn

141. Order 1 3

2 2 =2

142. Conceptual

143. Conceptual

144. Conceptual

145. For every rise in 10˚C temperature rate

constant become double.

2 10

1

42

2

25

80

ATku

k

k

k

146. Conceptual

147. Conceptual

148. Conceptual

149. 9 96500grams C

35.12 ( )5.12 10 ?kg or g

3

7

5.12 1096500

9

5.49 10

gm

gm

150. 2 2 22 2H O H O

2moles 2mole+1mole

36gm3moles x 22.4 (STP)

67.2lits

151. Conceptual

152. Conceptual

153. Conceptual

154. Conceptual

155. Conceptual

156. Conceptual

157. Conceptual

158. Conceptual

159. Conceptual

160. Conceptual

* * *

sr mpc date: 04-05-2020 eamcet unit-v time: 3 hours max ...€¦ · 49. equation of the parabola...

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