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Q.

Find the point on x-axis which is equidistant from the points P (2, -2) and Q (-4, 2).

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a

(0, -1)

b

(-1, 0)

c

(-1, 2)

d

(1, 1)

answer is B.

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Detailed Solution

Given points are P (2, -2) and Q (-4, 2).
We need to find a point on x - axis, which lies at equal distance from the given points P and Q.
As it lies on the x – axis, the y-coordinate is 0.
So, let us consider the point is R (x, 0).
We know that,
Distance between two points

= x 2 − x 1 2 + y 2 − y 1 2

.
Since R is at equal distance from P and Q, we get, Question Image

Question Image

8 − 4 x = 20 + 8 x 8 − 20 = 8 x + 4 x

− 12 = 12 x 12 x = − 12 x = − 12 12 x = − 1

The required point on x-axis which is equidistant from given points P (2, -2) and Q (-4, 2) is (-1,0).
The correct option is (2).

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