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
SQ2+SR2=2SP2 is
Answer: Option D
:
D
Let S(x, y), then
(x+1)2+y2+(x−2)2+y2=2[(x−1)2+y2]
⇒ 2x +1 + 4 - 4x = - 4x + 2 ⇒ x = -32
Hence it is a straight line parallel to y-axis.
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:
D
Let S(x, y), then
(x+1)2+y2+(x−2)2+y2=2[(x−1)2+y2]
⇒ 2x +1 + 4 - 4x = - 4x + 2 ⇒ x = -32
Hence it is a straight line parallel to y-axis.
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