Question

The equation of the bisectors of the angles between the lines represented by $x^{2} + 2xy\cot\theta + y^{2} = 0$ is

• A. $x^{2} - y^{2} = 0$
• B. $x^{2} - y^{2} = xy$
• C. $(x^{2} - y^{2})\cot\theta = 2xy$
• D. None of these

Answer 1

Answer: (A)

$x^{2} - y^{2} = 0$

Answer 2

Equation of bisectors is given by $\frac{x^{2} - y^{2}}{a - b} = \frac{xy}{h}$

or $\frac{x^{2} - y^{2}}{0} = \frac{xy}{\cot\theta}$⇒ $x^{2} - y^{2} = 0$