If the slope of the curve y=axb−x at the point (1,1) is 2 then

# If the slope of the curve $y=\frac{ax}{b-x}$ at the point $\left(1,1\right)$ is 2 then

1. A

2. B

3. C

4. D

none of these

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### Solution:

We have,

Since,  lies on (i). Therefore,

$1=\frac{a}{b-1}$

From (ii) and (iii), we have

$\frac{b}{b-1}=2⇒b=2$

Putting  in (iii), we get

Hence,  and

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