Differentiation Question 405
Question: If $ x=a(t-\sin t) $ and $ y=a(1-\cos t), $ then $ \frac{dy}{dx}= $
[AISSE 1984; Roorkee 1974; SCRA 1996; Karnataka CET 2003]
Options:
A) $ \tan ( \frac{t}{2} ) $
B) $ -\tan ( \frac{t}{2} ) $
C) $ \cot ( \frac{t}{2} ) $
D) $ -\cot ( \frac{t}{2} ) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{dy}{dx}=\frac{dy/dt}{dx/dt} $ .