A point moves such that the sum of its distances from two f…

Maths Rectangular Cartesian Co-ordinates Transformation of Axes and Locus Single Correct MCQ

Published on: August 13, 2026

A point moves such that the sum of its distances from two fixed points ( ae ,0) and (– ae ,0) is always 2 a . Then equation of its locus is

None of these

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The correct answer is:

Let and be two given points and be the coordinates of the moving point P.

Now,

.....(i)

But, we know that

.....(ii)

Dividing (ii) by (i), we get

.....(iii)

Adding (i) and (iii),

Squaring both sides, we get

Hence locus of P is .

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