Conic Sections Question 78
Question: The angle between the tangents drawn at the end points of the latus rectum of parabola $ y^{2}=4ax $ , is
Options:
A) $ \frac{\pi }{3} $
B) $ \frac{2\pi }{3} $
C) $ \frac{\pi }{4} $
D) $ \frac{\pi }{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
End points are $ (a,\pm 2a). $
$ \therefore $ Tangents are , $ \pm 2ay=2a(x+a) $ or $ m=\pm \frac{2a}{2a}=\pm 1 $
Hence angle between them is $ \frac{\pi }{2} $ .
BETA
