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7.

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13.

The length of the semi-major and the length of minor axis of the ellipse 𝑥2

144+

𝑦2

169= 1 are

(1) 26, 12 (2) 13, 24 (3) 12, 26 (4) 13, 12

14.

The area of the region bounded by the graph of y = sin x and y = cos x between x = 0 and x = π/4 is

(1) √2 + 1 (2) √2 − 1

(3) 2√2 − 2 (4) 2√2 + 2

15. . 𝜇2 = 20, 𝜇2′ = 276 for a discrete random variable X, then the mean of the random variable X is

(1) 16 (2) 5

(3) 2 (4) 1

16. The degree of the differential equation 𝑐 =[1+(

𝑑𝑦

𝑑𝑥)3]2/3

𝑑3𝑦

𝑑𝑥3

where c is a constant is

(1) 1 (2) 3 (3) – 2 (4) 2

17. Which of the following function is increasing in (0, ∞)

(1) ex (2) 1

𝑥 (3) – x2 (4) x-2

18. The slope of the normal to the curve y = 3x2 at the point whose x coordinate is 2 is

(1) 1

13 (2)

1

14 (3)

−1

12 (4)

1

12

19. lim𝑥→0

𝑎𝑥−𝑏𝑥

𝑐𝑥−𝑑𝑥 is

(1) ∞ (2) 0 (3) log𝑎𝑏

𝑐𝑑 (4)

log(𝑎/𝑏)

log(𝑐/𝑑)

20. The curve y = ax3 + bx2 + cx + d has a point of inflexion at x = 1 then

(1) a + b = 0 (2) a + 3b = 0 (3) 3a + b = 0 (4) 3a + b = 1

PART - II

(i) Answer any 7 questions

(ii) Question Number 30 is compulsory 7 x 2 = 14

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37.

38.

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OR

42.

OR

43.

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OR

44.

OR

45.

OR

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OR

47.

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OR

Prove the Associative Laws

PREPARED BY G NARASIMHAN

RETIRED HEAD MASTER

J G NATIONAL HIGHER SECONDARY SCHOOL EAST TAMBARAM

CHENNAI 59 PHONE 9884588989

RESIDENTIAL ADDRESS

NO 40/28 BUDDHAR STREET

EAST TAMBARAM CHENNAI 59

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