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 $ .