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If y=sinx log("tan"(x)/(2)) then the val...

If `y=sinx log("tan"(x)/(2))` then the value of `(d^(2)y)/(dx^(2))+y` is -

A

`-cot x`

B

`tan x`

C

`cot x`

D

`-tan x`

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. At x=0 the function f(x)=x^3+1 has -

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  2. If y=(1)/(1+x+x^(2)+x^(3)), then the value of (d^(2)y)/(dx^(2)) at x=...

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  3. If y=sinx log("tan"(x)/(2)) then the value of (d^(2)y)/(dx^(2))+y is -

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  4. If t is a parameter and x=t^(2)+2t, y=t^(3)-3t, then the value of (d...

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  5. (d)/(dx)[sin^(2)cot^(-1)( sqrt((1-x)/(1+x)))] is equal to -

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  6. If x=sin^(-1)(3t-4t^3) and y=cos^(-1) sqrt(1-t^2) then (dy)/(dx)=

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  7. The derivative of sin^(2)x w.r.t. cos^(2)x is -

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  8. If y="cosec"^(-1)((x+1)/(x-1))+cos^(-1)((x-1)/(x+1)), then (dy)/(dx...

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

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  10. If f(x)=(1)/(1-x), then the derivative of the composite function f[f{f...

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  11. The value of [sum(n=1)^(10)int(-2n-1)^(-2n)sin^(27)x dx+sum(n=1)^(10)i...

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  12. The value of the integral int x^(3)log x dx is equal to -

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  13. The value of int(-(1)/(2))^((1)/(2)){[x]+log((1+x)/(1-x))}dx is equal...

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  14. If I(n)=int (logx)^(n)dx, then the value of (I(n)+nI(n-1)) is -

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  15. The value of int(0)^(oo) (x dx)/((1+x)(1+x^(2))) is equal to -

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  16. The value of int (e^(x)dx)/((e^(x)+2)(e^(x)+1)) is equal to -

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  17. The value of int(dx)/(cosx-sinx) is equal to -

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  18. The value of int(0)^((pi)/(2)) ((sinx+cosx)^(2))/(sqrt(1+sin2x))dx is ...

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  19. If int(0)^(pi) x f(sinx) dx=A int(0)^((pi)/(2))f(sinx)dx, then the va...

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  20. The value of int ((x-x^(3))^((1)/(3)))/(x^(4)) dx is equal to -

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