Question

The equation of the bisectors of the angles between the lines represented by $x^2+2xycot\theta +y^2=0$, is

• A. $x^2-y^2$ = 0
• B. $x^2-y^2$ = xy
• C. $(x^2-y^2)cot\theta$ = 2xy
• D. $x^2-y^2$ = 3xy

Answer 1

The correct option is A

$x^2-y^2$ = 0

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

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