Question

Write the coordinates of point p on x axes which is equidistant from the two points a( -2,0) and b(6,0)

Answer 1

coordinates of point are (2,0)

Answer 2

The point on the x axis which is equidistant from a( -2,0) and b(6,0) is (2,0).

Step-by-step explanation:

To find : Write the coordinates of point p on x axes which is equidistant from the two points a( -2,0) and b(6,0) ?

Solution :

The point is on the x axis so the coordinate of the point is (h, 0).

This point (h , 0) is equidistant from (-2,0) and (6,0)

So, distance of point and a = distance of point and b

$(-2-h)^{2} + (0-0)^{2} = (h-6)^{2} + (0-0)^{2}$

Simplify,

$(-2-h)^{2}= (h-6)^{2}$

Taking root both side,

$-2-h=h-6$

$2h=4$

$h=2$

Therefore, the point on the x axis which is equidistant from a( -2,0) and b(6,0) is (2,0).

#Learn more

Find a point on X- Axis , which is equidistant from the point ( 7,6) and (-3,4).

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