Applications Of Derivatives Question 123
Question: If normal to the curve $ y=f(x) $ is parallel to x-axis, then correct statement is
[RPET 2000]
Options:
A) $ \frac{dy}{dx}=0 $
B) $ \frac{dy}{dx}=1 $
C) $ \frac{dx}{dy}=0 $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Slope of the normal = $ -\frac{1}{( \frac{dy}{dx} )} $
This is parallel to x-axis
therefore $ -\frac{1}{( \frac{dy}{dx} )}=0 $
therefore $ \frac{dx}{dy}=0 $ .
BETA
