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

If `y="tan"^(-1)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2)))`, then the value of `(dy)/(dx)` is -

A

`(x^(2))/(sqrt(1-x^(4)))`

B

`(x^(2))/(sqrt(1+x^(4)))`

C

`(x)/(sqrt(1-x^(4)))`

D

`(x)/(sqrt(1-x^(4)))`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)), then the ...

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

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

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

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

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  7. The value of int(dx)/(x(x^(7)+1)) is equal to -

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

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

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

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

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

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

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

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  15. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

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

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  17. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

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  18. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

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  19. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

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  20. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

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