Conic Sections Question 20
Question: The angle between the pair of tangents drawn to the ellipse $ 3x^{2}+2y^{2}=5 $ from the point (1, 2), is
[MNR 1984]
Options:
A) $ {{\tan }^{-1}}( \frac{12}{5} ) $
B) $ {{\tan }^{-1}}(6\sqrt{5}) $
C) $ {{\tan }^{-1}}( \frac{12}{\sqrt{5}} ) $
D) $ {{\tan }^{-1}}(12\sqrt{5}) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ SS_1=T^{2} $
$ \tan \theta =2\frac{\sqrt{h^{2}-ab}}{a+b},a=9 $ , $ b=-4 $ and $ h=-12 $ .
BETA
