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If x=a cot theta and y=(1)/(x^(2)+a^(...

If `x=a cot theta and y=(1)/(x^(2)+a^(2))`, then the value of `(d^(2)y)/(dx^(2))` at `theta=(pi)/(6)` is -

A

`(1)/(a^(2))`

B

`-(1)/(4a^(4))`

C

`(2)/(a^(4))`

D

`-(2)/(a^(4))`

Text Solution

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The correct Answer is:
A
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
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  4. If y=(sin^(-1)x)^(2)+(cos^(-1)x)^(2), then which of the following is...

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  7. If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)), then the ...

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  8. If siny=x sin(a+y), then the value of (dy)/(dx) is -

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  9. If y="tan"^(-1)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(...

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  10. If the equation a(n)x^(n)+a(n-1)x^(n-1)+…+a(1)x=0 (a(1) ne 0, n ge 2)...

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  11. If x sin y+y cos x=pi, then the value of y''(0) is -

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  12. Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g(x) be ...

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  14. If f(x)=|x-1|, then the value of int(0)^(2)f(x) dx is -

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  15. If I(m)=int(1)^(x)(logx)^(m)dx satisfies the relation I(m)=x(logx)^...

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  16. If int(-(1)/(2))^((1)/(2)) cos x log((1+x)/(1-x))dx=k log2, then the ...

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  17. The value of int cos[2cot^(-1) sqrt((1-x)/(1+x))]dx is equal to -

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  18. If int(sinx)^(1) t^(2) f(t) dt =1-sinx, then the value of f((1)/(sqr...

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  19. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

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  20. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

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