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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1
Let u(x)u(x) and v(x)v(x) be differentiable functions such that u(x)v(x)=7\frac{u(x)}{v(x)}=7. If u′(x)v′(x)=p\frac{u^{\prime}(x)}{v^{\prime}(x)}=p and (u(x)v(x))′=q\left(\frac{u(x)}{v(x)}\right)^{\prime}=q, then p+qp−q\frac{p+q}{p-q} has the value equal to
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Correct option: A
1
Option A (1) is correct because given the conditions, the value of p+qp−q\frac{p+q}{p-q} simplifies to 1.

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