Pair Of Straight Lines Question 81

Question: The angle between the lines represented by the equation $ x^{2}-2pxy+y^{2}=0 $ , is

Options:

A) $ {{\sec }^{-1}}p $

B) $ {{\cos }^{-1}}p $

C) $ {{\tan }^{-1}}p $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \tan \theta =\frac{\pm 2\sqrt{p^{2}-1}}{1+1}=\pm \sqrt{p^{2}-1}\Rightarrow \theta ={{\sec }^{-1}}p $ .