Published by:
CGP EDU Academic Team
Published on: August 14, 2026
From the origin chords are drawn to the circle (x – 1) 2 + y 2 = 1. The equation of the locus of the mid point of these chords are-
Text Solution
Verified by ExpertsThe correct answer is:
B
(x – 1) 2 + y 2 = 1 ...(1)
C 1 (1, 0); r 1 = 1

Equation of chord AB ⇒ T = S 1
⇒ hx + ky – (x + h) = h 2 + k 2 – 2h
chord AB is passing through the O(0, 0)
i.e. ⇒ –h = h 2 + k 2 – 2h ⇒ x 2 + y 2 – x = 0
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