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Question

If P = (1, 0), Q = (-1, 0) and R = (2, 0) are three given points, then the locus of a point S satisfying the relation

SQ2+SR2=2SP2 is


A

A straight line parallel to x-axis

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B

A circle through origin

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C

A circle with centre at the origin

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D

A straight line parallel to y-axis

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Solution

The correct option is D

A straight line parallel to y-axis


Let S(x, y), then

(x+1)2+y2+(x2)2+y2=2[(x1)2+y2]

2x +1 + 4 - 4x = - 4x + 2 x = -32

Hence it is a straight line parallel to y-axis.


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