Question

The equation of the bisectors of the angle between the lines represented by the equation $x^{2} - y^{2} = 0$, is

• A. $x = 0$
• B. $y = 0$
• C. $xy = 0$
• D. None of these

Answer 1

Answer: (C)

$xy = 0$

Answer 2

By the formula for equation of bisector

$\frac{x^{2} - y^{2}}{1 - ( - 1)} = \frac{xy}{(0)} \Rightarrow xy = 0$ (By cross-multiplication).