Question

The equation of the bisectors of the angles between the lines are

• A. $y = \pm x$ and$x = 0$
• B. $x = \frac { 1 } { 2 }$ and $y = \frac { 1 } { 2 }$
• C. $y = 0$and$x = 0$
• D. None of these

Answer 1

Answer: (C)

$y = 0$and$x = 0$

Answer 2

The equation of lines are $x + y = 0$ and $x - y = 0$ .

$\therefore$ The equation of bisectors of the angles between these lines are $\frac { x + y } { \sqrt { 1 + 1 } } = \pm \frac { x - y } { \sqrt { 1 + 1 } }$ ⇒ $x + y = \pm ( x - y )$

Taking +ve sign, we get $y = 0$; Taking –ve sign, we get $y = 0$.