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) $ .