Pair Of Straight Lines Question 56

Question: The angle between the lines represented by the equation $ \lambda x^{2}+{{(1-\lambda )}^{2}}xy-\lambda y^{2}=0 $ , is

Options:

A) $ 30^{o} $

B) $ 45^{o} $

C) $ 60^{o} $

D) $ 90^{o} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ \tan \theta =\frac{2\sqrt{{{[ \frac{{{(1-\lambda )}^{2}}}{2} ]}^{2}}+{{\lambda }^{2}}}}{\lambda -\lambda }\Rightarrow \theta =90{}^\circ $ .