Differentiation Question 411
Question: If $ x=a{{\cos }^{3}}\theta ,y=a{{\sin }^{3}}\theta $ , then $ \sqrt{1+{{( \frac{dy}{dx} )}^{2}}}= $
[EAMCET 1992]
Options:
A) $ {{\tan }^{2}}\theta $
B) $ {{\sec }^{2}}\theta $
C) $ \sec \theta $
D) $ |\sec \theta | $
Show Answer
Answer:
Correct Answer: D
Solution:
$ \sqrt{1+{{\tan }^{2}}\theta }=|\sec \theta | $ .