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If y=(sin^(-1)x)/(sqrt(1-x^(2))) satisfi...

If `y=(sin^(-1)x)/(sqrt(1-x^(2)))` satisfies the relation `(1-x^(2))y'-xy=k` then the value of k is

A

1

B

0

C

`-1`

D

2

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
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  13. Let (x, y) be any point on the unit circle with centre at the origin, ...

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  15. Let g(x) be the inverse of f(x) and f'(x)=(1)/(1+x^(5)) then (d^(2))/(...

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  16. The derivative of f(tanx) with respect to g(sec x) at x =(pi)/(4), whe...

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  18. If y=sin^(-1)((5x+12sqrt(1-x^(2)))/(13)), then (dy)/(dx) is equal to:

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  19. Let f:(-1,1)toR be a differentiable function with f(0)=-1 and f'(0)=1....

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