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Question: Let u(x) and v(x) are differentiable functions such that \(\frac{u(x)}{v(x)}\) = 7. If \(\frac{u'(x...

Let u(x) and v(x) are differentiable functions such that

u(x)v(x)\frac{u(x)}{v(x)} = 7. If u(x)v(x)\frac{u'(x)}{v'(x)} = p and (u(x)v(x))\left( \frac{u(x)}{v(x)} \right)^{'}= q. Then p+qpq\frac{p + q}{p - q} (p ≠ 0) has the value equal to

A

1

B

0

C

7

D

–7

Answer

1

Explanation

Solution

u(x)v(x)\frac{u(x)}{v(x)} = 7 so (u(x)v(x))\left( \frac{u(x)}{v(x)} \right)^{'} = 0 ⇒ q = 0; ratio = 1