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JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1
Let u(x)u(x) and v(x)v(x) are 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)=\mathrm{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 after differentiating and simplifying, the value of (p+q)/(p-q) is found to be 1.

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