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Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=...

Statement 1: If `e^(xy)+ln(xy)+cos(xy)+5=0,` then `(dy)/(dx)=-y/x`.
Statement 2: `d/(dx)(xy)0,y` is a function of `ximplies(dy)/(dx)=-y/x`.

A

Statement 1: is True, Statement 2 is True , Statement 2 is a correct explanation for statement 1

B

Statement 1 is True, Statement 2 is True Statement 2 is NOT a correct explanation for Statement 1

C

Statement 1 is True, Statement 2 is False

D

Statement 1 is False, Statement 2 is True

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The correct Answer is:
A
Statement 1: `e^(xy)+ln(xy)+cos(xy)+5=0`
Diff. w.r.t to `x(e^(xy)+1/(xy)-sinxy)d/(dx)(xy)=0`
`impliesd/(dx)(xy)=0impliesy+x(dy)/(dx)=0implies(dy)/(dx)=- y/x`.
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