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If sin-1x2-y2x2+y2=log a then dydxis

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By Expert Faculty of Sri Chaitanya
a
xy
b
yx2
c
x2-y2x2+y2
d
yx

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detailed solution

Correct option is D

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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