The combined equation of bisectors of angles between coordin... | MATH - BISECTORS OF THE ANGLE BETWEEN THE LINES, POINT OF INTERSECTION OF THE LINES | SolveeIt

Question

The combined equation of bisectors of angles between coordinate axes, is

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

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

$xy = 0$

$x + y = 0$

Answer

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

Explanation

Solution

Equations of axes are $x = 0,\mspace{6mu} y = 0$ . Combined equation is $xy = 0$ . Therefore, combined equation of bisectors is $\frac{x^{2} - y^{2}}{0} = \frac{xy}{1/2} \Rightarrow x^{2} - y^{2} = 0$ .

Question: The combined equation of bisectors of angles between coordinate axes, is...

Solution