padasalai.net s special centum coaching team question paper … · 2016. 11. 30. · 30. (a) the...

www.Padasalai.Net www.TrbTnpsc.com

http://www.trbtnpsc.com/2014/10/how-to-get-centum-in-12th-and-10th.html

Padasalai.Net’s Special – Centum Coaching Team

Question Paper (2016-17)

MATHEMATICS

X – STD MARKS: 100

SECTION – I (Marks: 15)

Note: (i) Answer all the 15 questions. (ii) Choose the correct answer in each question. Each of

the questions contains 4 options with just one correct option. (iii) Each question carries one

mark. 15 x 1 = 15

1. If n [ p (A) ] = 64 then n (A) is ___ (a) 6 (b) 8 (c) 4 (d) 5

2. If the nth

term of an A.P is tn = 3 – 5n then the sum of the first n terms is

(a)

[1 – 5n] (b) n (1 – 5n) (c)

(1 + 5n) (d)

(1 + n)

3. If the third term of a G.P is 2, then the product of first 5 term is (a) 5 2 (b) 2

5 (c) 10 (d) 15

4. The GCD of (x3 + 1) and x

4 – 1 is __. (a) x

3 – 1 (b) x

3 + 1 (c) x + 1 (d) x – 1

5. The square root of x2 + y

2 + z

2 – 2xy + 2yz – 2zx is ___

(a) |x + y – z | (b) | x – y + z | (c) | x + y + z | (d) |x – y – z |

6. If A = [aij] 2 x 2 and aij = i + j then A = _____

(a)

(b)

(c)

(d)

7. The centroid of the triangle with vertices at (-2, -5) (-2, 12) and (10, - 1) is

(a) (6, 6) (b) (4, 4) (c) (3, 3) (d) (2, 2)

8. The equation of the straight line passing through the origin and perpendicular to 2x + 3y – 7 = 0 is

(a) 2x + 3y = 0 (b) 3x – 2y = 0 (c) y + 5 = 0 (d) y – 5 = 0

9. A point P is 26 cm away from the centre O of a circle and PT is the tangent drawn from P to the

circle is 10 cm, then OT is ___ cm. (A) 36 (b) 20 (c) 18 (d) 24

10. From the given figure identify the wrong statement A

(a) ∆ ADB ~ ∆ABC (b) ∆ABD ~ ∆ABC

(c) ∆BDC ~ ∆ABC (d) ∆ADB ~ ∆BDC B C

D



11. Cos4x – Sin

4 x = ___ (a) 2Sin

2x – 1 (b) 2Cos

2x – 1 (c) 1 + 2Sin

2x (d) 1 – 2Cos

2 x

12. Sin (90o – θ) Sin θ + Cos (90

o – θ) Cos θ = ___ (a) tan θ (b) 1 (c) – 1 (d) Sin θ

tan θ cot θ

13. Two right circular cones have equal radii. If their slant heights are in the ratio 4: 3, tehn their

respective curevd surface area are in the ration (a) 16: 9 (b) 2: 3 (c) 4: 3 (d) 3 : 4

14. If the variance of 14, 18, 22, 26, 30 is 32 then the variance of 28, 36, 44, 52, 60 is ___

(a) 64 (b) 128 (c) 32 (d) 32

15. If P is the probability of an event A then P satisfies ____

(a) 0 < P < 1 (b) 0 P 1 (c) 0 1 P < 1 (d) 0 < P 1

SECTION – II (Marks : 20)

Note: (i) Answer any 10 questions in all. (ii) Question No. 30 is compulsory. Select any 9

questions from the first 14 questions. (iii) Each question carries 2 marks. 10 x 2 = 20

16. Draw Venn diagram for A ∩ (B \ C)

17. Let | x | = x if x ≥ 0 where x ε R

- x if x < 0

Does the relation {(x,y) | y = |x|, x ε R} define a function? Find its range

18. If a person joins his work in 2010 with an annual salary of `. 30, 000 and receives an annual

increment of `. 600 every year, in which year will his annual salary be `. 39, 000?

19. If P = x2 – 49 Q = x – 7 find P

x2 – 81 x + 9 Q

20. Find the product of the matrices, if exists

21. If A =

then verify AI = IA = A when I is the unit matrix of order 2

22. Using the concept of slope show that the points A(5, -2) B (4, -1) C (1, 2) are collinear.

23. If the x intercept and y intercept of a stright line are

and

respectively then find the equation

of the straight line.

24. Let PQ be a tangent to a circle at A and AB be a chord. Let C be point on the circle such that

BAC = 54o and BAQ = 62

o then find ABC

25. If x = a sec θ + b tan θ and y = a tan θ + b sec θ then prove that x2 – y

2 = a

2 - b

2



26. A pendulum of length 40 cm subtends 60o at the veretex in one full oscillation. What will be the

shortest distance between the initial position and the final position of the bob?

27. Find the volume of the largest right circular cone that can be cut out of a cube whose edge is

14 cm

28. The largest of 50 measurments is 3.84 kg. if the range is 0.46 kg. find the smallest measurement.

29. A two digit number is formed with the digit 3, 5 and 7. Find the probability that the number so

formed is greater than 57 (repetition of digits is not allowed )

30. (a) The ratio between the base radius and height of solid right circular cylinder is 2:5 . if its

curved surface area is

sq.cm. find the height. (OR)

(b) Find a quadratic polynomial with zeros at x = ¼ and x = - 1

SECTION – III (Marks: 45)

Note: (i) Answer any 9 questions in all. (ii) Question No. 45 is compulsory. Select any 8

questions from the first 14 questions. (iii) Each questions carries 5 marks. 9 x 5 = 45

31. A = {10, 15, 20, 25, 30, 35, 40, 45, 50} B = {1, 5, 10, 15, 20, 30} and

C = {7, 8, 15, 20, 35, 45, 48} verify A \ (BUC) = (A \ B) ∩ (A \ C)

32. Let A = {5, 6, 7, 8} B = {-11, 4, 7, -10, -7, -9, -13} and f = {(x,y) : y = 3 – 2x, x ε A, y ε B}

Write down the elements of f (ii) What is the Co – domain (iii) What is the range?

(iv) Identify the types of function?

33. The sum of the first three terms of a G.P is 13 and sum of their squares is 91. Determine the G.P

34. Solve the equation

+

=

where x+ 1 ≠ 0, x + 2 ≠ 0 and x + 4 ≠ 0 using quadratic

formula.

35. ax4 – bx

3 + 40x

2 + 24x + 36 is perfect square then find the value of a and b.

36. If A =

B =

then prove that (A+B) 2 ≠ A2 + 2AB + B2

37. If A(3, 6) and C (-1, 2) are two vertices of rhombus ABCD then find the equation of straight line

that lies along the diagonal BD.

38. Find the coordinates of the foot of the perpendicular from the origin on the line 3x + 2y = 13

39. State and Prove Baudhayan theorem.

40. A boy spots a balloon moving with the wind in a horizontal line at a height of 88. 2 m from the

ground level. The distance of his eye level from the ground is 1.2 m. the angle of elevation of the

balloon from his eyes at an instant is 60o. After some time, from the same point of observation, the

angle of elevation of the balloon reduces to 30 o. Find the distance covered by the balloon during the

interval.



41. A circus tent is to be erected in the form of a cone surmounted on a cylinder. The total height of

the tent is 49 m. Diameter of the base is 42 m and height of the cylinder is 21 m. Find the cost of

canvas needed to make the tent, if the cost of canvas is `. 12.50 / m2. (Take π = 22/ 7)

42. A lead pencil is in the shape of right circular cylinder. The pencil is 28 cm long and its radius is

3 mm. if the lead is of radius 1 mm, then find the volume of the wood used in the pencil.

43. The mean and standard deviation of a group of 20 items was found to be 40 and 15 respectively.

While checking it was found that an item 43 was wrongly written as 53. Calculate the correct mean

and standard deviation.

44. The probability that a new car will get an award for its design is 0.25, the probability that it will

get an award for efficient use of fuel is 0.35 and the probability that it will get both the awards is

0.15. Find the probability that

(i) it will get atleast one of the two awards (ii) it will get only one of the awards

45. (a) Find the values of k so that the equation x2 – 2x (1 + 3k) + 7(3 + 2k) = 0 has real and

equal roots. (OR)

(b) Find the sum of the first 2n terms of the following series

12 – 2

2 + 3

2 – 4

2 + ……….

SECTION – IV (Marks: 20)

Note: (i) This section contains 2 questions, each with 2 alternatives. (ii) Answer both the

questions choosing either of the alternatives. (iii) Each questions carries 10 marks 2 x 10 = 20

46. (a) Construct a triangle ABC such that AB = 6 cm C = 40o and the altitude from C to AB is

4. 2 cm (OR)

(b) Construct a cyclic quadrilateral PQRS such that PQ = 4 cm, P = 100o

PQS = 40 o and

SQR = 70 o

47. (a) Draw the graph of y = x 2

+ 3x + 2 and use it to solve the equation x 2 + 2x + 4 = 0.

(OR)

(b)

No. of

workers

x

3 4 6 8 9 16

No. of days

y 96 72 48 36 32 18

Draw graph for te data given in the table. Hence find the number of days taken by 12 workers

to complete the work.

******************



Please Send Your Answer Scripts To This Address:

Mr. A. NIVAS B.Sc., B.Ed., 1/1229 G, JOTHI NAGAR, K. CHETTIPALAYAM, TIRUPUR –641608

PH: 9942240841.


Padasalai.Net’s Centum Coaching Team


?

1. Click Here & Enter Your Details (Students Only) 2.

, .

3. A4 Size (Or) Legal Size . “ ” .

4. ” ” , .

5. . .

6. (Return Cover) .

7. 3 ” ” . Click Here for Complaint Box!

8. Slow Learners , , , , .

-

Mr. A. NIVAS, BT Asst, 1/1229 G, JOTHI NAGAR, K. CHETTIPALAYAM, TIRUPUR –641608 Cell Number: 9942240841. If any doubt, Please contact our Padasalai’s Centum Coaching Team Co-ordinator: Mr. S. Ravi kumar, B.Sc., B.Ed., Headmaster., GHS, PasmarPenta,, Vellore Dt: CellNo: 9994453649

Useful Links:

1. All Other Subject Question Papers Download - Click Here 2. Centum Coaching Team Instructions - Click Here 3. Centum Coaching Team Teacher's Registration Form - Click Here 4. Centum Coaching Team Student's Registration Form - Click Here
http://www.padasalai.net/2014/10/centum-coaching-team-registration-form_6.htmlhttp://www.padasalai.net/2014/10/centum-coaching-team-registration-form_6.htmlhttp://goo.gl/forms/JwqijySiDrhttp://www.trbtnpsc.com/2014/10/how-to-get-centum-in-12th-and-10th.htmlhttp://www.trbtnpsc.com/2014/10/how-to-get-centum-in-12th-and-10th.htmlhttp://www.padasalai.net/2014/10/padasalais-centum-coaching-team.htmlhttp://www.padasalai.net/2014/10/padasalais-centum-coaching-team.htmlhttp://www.padasalai.net/2014/10/centum-coaching-team-registration-form.htmlhttp://www.padasalai.net/2014/10/centum-coaching-team-registration-form.htmlhttp://www.padasalai.net/2014/10/centum-coaching-team-registration-form_6.htmlhttp://www.padasalai.net/2014/10/centum-coaching-team-registration-form_6.html

padasalai.net s special centum coaching team question paper … · 2016. 11. 30. · 30. (a) the...

Documents