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int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2...

`int_(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =`

A

`2pi ab`

B

`pi a^(2) b^(2)`

C

`(pi)/(a^(2)b^(2))`

D

`(pi)/(2ab)`

Text Solution

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The correct Answer is:
D
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
  1. int(e^(sqrt(x)))/(sqrt(x)) dx =

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  2. underset(0)overset(a)int sqrt(a^(2) - x^(2)) dx =

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  3. int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

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  4. int(0)^(pi//2) log sin x dx =

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  5. {:(Lt),(n->oo):}[(1)/(n+1) + (1)/(n+2) + … "to n terms"] =

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  6. The area enclosed within the curve |x|+|y| = 1 is

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  7. int(x^(2) + 1)/(x^(4) + 1) dx =

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  8. If the position vectors of vec(A) and vec(B) are 3hat(i) - 2hat(j) + h...

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  9. If a = I + j, b = j + k and c = k +i, a unit vector parallel to a + b...

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  10. If |vec(a) + vec(b)| = |vec(a) - vec(b)| then

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  11. If |vec(a)| = 5, |vec(b)| = 6 and the angle between vec(a) and vec(b) ...

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  12. If |vec(a)| = 3, |vec(b) = 4 and |vec(a) + vec(b)| = 1, then |vec(a) -...

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  13. {:(" "Lt),(x rarr 0):} [(x)/(sqrt(1+x)-sqrt(1-x))] =

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  14. If y = sin x^(0), (dy)/(dx) =

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  15. If y = tan^(-1)((x+a)/(1-xa)) then (dy)/(dx) =

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  16. If x^(y) = e^(x-y), (dy)/(dx) =

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  17. If x = a(cos theta + theta sin theta), y = a (sin theta - theta cos th...

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  18. The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at a...

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  19. The distance s feet travelled by a particle in time t seconds is given...

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  20. The angle between the curves xy = 2 and y^(2) = 4x at their point of ...

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