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Padasalai.Net’s Special – Centum Coaching Team

Question Paper 2017-2018

SSLC Max.Mark : 100

Standard : X Mathematics Time : 2.30 hrs.

Section – A

Note: (i) Answer all the 15 questions. 15 × 1 = 15

1.

2. If a, b, c are in G.P, then

is equal to

(A) a/b (B) b/a (C) b/c (D) c/b

3.

4. The common root of the equations x2- bx+ c= 0 and x

2+ bx- a= 0 is

(A)

(B)

(C)

(D)

5.

6. If

= , then the value of a is

(A) 8 (B) 4 (C) 2 (D) 11

7. If the points (2, 5), (4, 6) and (a, a) are collinear, then the value of a is equal to

(A) -8 (B) 4 (C) -4 (D) 8

8.

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 equal to

(A) 36 cm (B) 20 cm (C) 18 cm (D) 24 cm

10.

11. cos4 x- sin

4x =

(A) 2sin 2x -1 (B) 2cos

2x -1 (C) 1 + 2sin

2x (D) 1 -2cos

2 x.

12. (1 + cot2 )(1+cos )(1-cos ) =

(A) tan2 -sec

2 (B) sin2 - cos

2 (C) sec2 - tan

2 (D) cos2 - sin

2 .

13. The ratios of the respective heights and the respective radii of two cylinders are 1:2

and 2:1 respectively. Then their respective volumes are in the ratio

(A) 4 : 1 (B) 1 : 4 (C) 2 : 1 (D) 1 : 2

14.

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15.

Section – B 10 x 2 = 20

II.Answer any 10 questions and question No. 30 is compulsory

16. Define bijective function.

17.

18. If the quotient on dividing, 8x4- 2x

2+ 6x- 7 by 2x + 1 is 4x

3+ px

2- qx+ 3 ,

then find p , q and also the remainder.

19. Solve 24 - 10x = 3 - 4x, 3 - 4x > 0

20.

21.

22. Find the equation of the straight line which passes through the midpoint of the line

segment joining (4, 2) and (3, 1) whose angle of inclination is 300

.

23.

24.

25. The angle of elevation of the top of a tower as seen by an observer is 300. The observer

is at a distance of 30√3 m from the tower. If the eye level of the observer is 1.5 m above the

ground level, then find the height of the tower.

26.

27. Radius and slant height of a cone are in the ratio 3 : 5. If the curved surface area

is 60π sq.cm, then find its total surface area.

28. Base area and volume of a right circular cylinder are 13.86 sq.cm, and 69.3 cu.cm

respectively. Find its height and curved surface area.( Take π= 22/7 ).

29. Calculate the standard deviation of the first 15 natural numbers.

30. a). Two dice are rolled and the product of the outcomes (numbers) are found. What is the

probability that the product so found is a prime number?

( OR )

b). The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria

present in the culture initially, how many bacteria will be present at the end of 14th

hour?

Section – C 9 x 5 = 45

III. Answer any 9 questions and question No. 45 is compulsory

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31. Use Venn diagrams to verify De Morgan’s law for set difference A \ (B ∩ C) =(A \ B) U (A \ C).

32.

33.

34.

35. If α and β are the roots of the equation 3x 2

- 6x+ 1 = 0, form an equation whose α2β and β

2α.

36.

37. Solve

= 0.

38.

39.

40. If all sides of a parallelogram touch a circle, show that the parallelogram is a rhombus.

41.

42.

43.

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44.

45. a). Prove the identity

=

( OR )

b).

Section – D 2 x10 = 20

IV. Answer both the questions

46.a). Construct a ABC such that AB = 6 cm, ∟C = 400

and the altitude from C to AB is of

length 4.2 cm.

( OR ) b).

47.a). Draw the graph of y= 2x2 and hence solve 2x

2 + x- 6= 0. ( OR )

b).

X - + God bless you + - X

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1Oth CO-ORDINATOR, KONGUNADU MAT.HR.SEC.SCHOOL, VELAGOUNDAMPATTY,

NAMAKKAL DISTRICT. - 637212. Mob.No. 9443682105

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