Question

The combined equation of the bisectors of the angle between the lines represented by $\left(x^2+y^2\right) \sqrt{3}=4 x y$ is

• A. $y^2-x^2=0$
• B. $x y=0$
• C. $x^2+y^2=2 x y$
• D. $\frac{x^2-y^2}{\sqrt{3}}=\frac{x y}{2}$

Answer 1

Answer: (A)

$\sqrt{3} x^2-4 x y+\sqrt{3} y^2=0$
Pair of angle bisectors are $\frac{x^2-y^2}{\sqrt{3}-\sqrt{3}}=\frac{x y}{(-2)}$
$\Rightarrow x^2-y^2=0 \Rightarrow y^2-x^2=0$