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

If `y=tan^(-1)((sqrt(1+x^(2))-1)/(x))` and `z=tan^(-1)((2x)/(1-x^(2)))`, then `(dy)/(dz)` is equal to -

A

`(1)/(8)`

B

`(1)/(4)`

C

`(1)/(2)`

D

1

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. The derivative of sin^(2)x w.r.t. cos^(2)x is -

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. The value of int e^(x log a)*e^(x)dx is equal to -

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  16. The value of int(-(pi)/(4))^((pi)/(4)) x^(3) sin^(4) x dx is equal to...

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  17. If f(x)=cosx-cos^(2)x+cos^(3)x-…oo, then the value of int f(x) dx is...

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  18. The value of int(0)^(1)(xdx)/((x+sqrt(1-x^(2)))sqrt(1-x^(2))) is equal...

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  19. The value of int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal to -

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  20. The value of int{(logx-1)/(1+(logx)^(2))}^(2)dx is equal to -

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