Q.

If sin-1x2-y2x2+y2=log a then dydxis

Moderate

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a

xy

b

yx2

c

x2-y2x2+y2

d

yx

answer is D.

(Detailed Solution Below)

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Detailed Solution

Given sin-1x2-y2x2+y2=log a

Apply sine function on both sides

x2-y2x2+y2=sin (log a)

Apply Componendo and Dividendo rule

2x2-2y2=sin(log a)+1sin(log a)-1x2y2=1+sinloga1-sinloga

Observing that the right hand side of the above equation is constant

Hence

y2x2=k

Differentiate both sides with respect to x

x22ydydx-2xy2x4=0xdydx-y=0dydx=yx

 

 

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