Pair Of Straight Lines Question 153

Question: If the bisectors of the angles of the lines represented by $ 3x^{2}-4xy+5y^{2}=0 $ and $ 5x^{2}+4xy+3y^{2}=0 $ are same, then the angle made by the lines represented by first with the second, is

Options:

A) $ 30^{o} $

B) $ 60^{o} $

C) $ 45^{o} $

D) $ 90^{o} $

Show Answer

Answer:

Correct Answer: D

Solution:

Here both the equations are perpendicular to each other. So, under the given condition it is clear that angle is $ 90{}^\circ $ .