Question

The point on x axis which is equidistant from (-4,0) and (10,0) is
(A) (7,0)
(B) (5,0)
(C) (0,0)
(D) (3,0)

Answer 1

Answer: (3,0)

Let point on x axis be (x,0)

Now apply the distance formula for both the other given points and this point.

The answer comes out to be (3,0)

Hope it helped...

Answer 2

Given two point on the x -axis (-4,0) and (10,0).

We have to find the point on the x-axis which is equidistant from the two point.

Let the coordinates of the point be (x,y).

The point which is equidistant from the two points will be their midpoint .

Using midpoint formula -

x = (-4+10)/2 = 3

y = 0

The coordinates of the points are (3,0) . So the option D) is the correct answer.