Conic Sections Question 111

Question: . The angle of intersection between the curves $ x^{2}=4(y+1) $ and $ x^{2}=-4(y+1) $ is

[UPSEAT 2002]

Options:

A) $ \frac{\pi }{6} $

B) $ \frac{\pi }{4} $

C) 0

D) $ \frac{\pi }{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

Point of intersection $ =(0,-1) $ ; $ \frac{dy}{dx}=\frac{2x}{4} $ and $ \frac{-2x}{4} $

$ m_1=0,m_2=0 $

therefore $ \theta =0^{o}. $