Question

If the point (x, y) is at equal distance from the x-axis and y-axis, then the relationship between x and y can be

• A.
  $x=2y$
• B.
  $x=3y$
• C.
  $2x+y=0$
• D.
  $x=y$

Answer 1

The correct option is D

$x=y$
Given that the point (x, y) is at equal distances from the x-axis and y-axis.

$\therefore$ Distance of point (x, y) from x-axis = Distance of point (x, y) from y-axis


Now, the distance of a point from the x-axis is equal to the absolute value of its y-coordinate and the distance from the y-axis is equal to the absolute value of its x-coordinate.

$\Rightarrow y=xi.e.x=y$

Hence, the correct answer is option (d).