Coordinate Geometry Question 94

Question: The locus of a point which moves so that it is always equidistant from the point A(a, 0) and B (- a, 0) is

[MP PET 1984]

Options:

A) A circle

B) Perpendicular bisector of the line segment AB

C) A line parallel to x-axis

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Let point be (h, k) then, $ {{(h-a)}^{2}}+k^{2}={{(h+a)}^{2}}+k^{2} $
$ \Rightarrow 4ha=0\Rightarrow h=0. $

Hence x = 0.