Question

The point on the x axis which is equidistant from the points (-1,0) and (5,0) is

(0,2)

(2,0)

(0,0)

(3,0)​

Answer 1

ANSWER

Since point lies on x-axis, y-coordinate of the point will be zero.

Let P(x,0) be on x-axis which is equidistant from A(−1,0) and B(5,0)

Using section formula:

x=

1+1

1×(5)+1×(−1)/1-1

or x=2

Thus, the required point is (2,0).