First slide

Pair of straight lines

Question

The combined equation of angular bisector of lines represented by the equation $x y = 0$ is

Easy

A

$x y = 0$
B

$x + y = 0$
C

$x - y = 0$
D

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

Solution

The given equation is $x y = 0$ , it is the combined equation of coordinate axes
The angular bisectors of coordinate axes are $x + y = 0, x - y = 0$
Therefore, the combined equation is product of two equations $x^{2} - y^{2} = 0$

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