MathematicsIf sin-1×2-y2x2+y2=log a then dydxis

If sin-1x2-y2x2+y2=log a then dydxis

  1. A

    xy

  2. B

    yx2

  3. C

    x2-y2x2+y2

  4. D

    yx

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    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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