Pair Of Straight Lines Question 2

Question: If the sum of the slopes of the lines represented by the equation $ x^{2}-2xy\tan A-y^{2}=0 $ be 4, then $ \angle A= $

Options:

A) $ 0^{o} $

B) $ 45^{o} $

C) $ 60^{o} $

D) $ {{\tan }^{-1}}(-2) $

Show Answer

Answer:

Correct Answer: D

Solution:

$ m_1+m_2=\frac{2\tan A}{-1}=4 $

$ \Rightarrow \tan A=-2\Rightarrow \angle A={{\tan }^{-1}}(-2) $ .