Question

The equation of the locus of a point which is equidistant from the axes is

• A. $y=2x$
• B. $x=2y$
• C. $y=\pm x$
• D. $2y+x=0$

Answer 1

Answer: (C)

$y=\pm x$

For any point $(x,y)$, the distance of point from y-axis is x-coordinate $x$ or $-x$

Similarly, the distance of point from x-axis is y-coordinate $y$ or $-y$

Equation of locus of a point which is equidistant from axes is $y=x$ or $y=-x$