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If ` xy = tan^(-1) (xy) + cot^(-1) (xy), " then" (dy)/(dx) ` is equal to

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If ` xy = tan^(-1) (xy) + cot^(-1) (xy), " then" (dy)/(dx) ` is equal to
A. `(y)/(x)`
B. `-(y)/(x)`
C. `(x)/(y)`
D. `-(x)/(y)`
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1 Answer

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Correct Answer - B
`xy=tan^(-1)(xy)+cot^(-1)(xy)=(pi)/(2)`
`implies xy=(pi)/(2)`
` :. x""(dy)/(dx)+y=0`
`implies (dy)/(dx)=(-y)/(x)`
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