Question

find the locus of a point which is placed at equal distance from each side​

Answer 1

Given:

A  point which is equidistant from each side.

To Find:

The locus of the point.

Solution:

Let ( h , k ) be the point which is equidistant from both the axis.

Therefore distance between ( h , k ) and x axis is same as the distance between ( h , k ) and y axis.

• In other words, h is the distance of the point from the y axis.

• And k is the distance of the point from x axis.

• Therefore, h = k .

• By changing h to x and k to y

• We can generalize the equation as x = y.

The locus of a point which is placed at equal distance from each side​ is

X = Y.