Question

find the point on X axis which is equidistant from the points M(-5,-2) and N(3,2)

Answer 1

Answer:

(-1,0)

Step-by-step explanation:

To find the point on X axis which is equidistant from the points M(-5,-2) and N(3,2)

Let the point is R(x,0)

since it lies on x-axis ,so it's y-coordinate should be zero.

As it is equidistant from both the given points MN,i.e. R is the Mid-point of line segment.

$x = \frac{ x_1+ x_2}{2}\\\\y= \frac{ y_1+ y_2}{2}$

$x = \frac{ - 5 + 3}{2} \\ \\ x = \frac{ - 2}{2} \\ \\ x = - 1 \\ \\ y = \frac{ - 2 + 2}{2} \\ \\ y = 0$

The coordinates of point M(-1,0);which is equidistant from M and N.

It is shown in the attachment.

Hope it helps you.

Answer 2

Answer:

The coordinates of point M(-1,0);which is equidistant from M and N.