JEE Advance - Mathematics (1985 - No. 24)
From the origin chords are drawn to the circle $${(x - 1)^2} + {y^2} = 1$$. The equation of the locus of the mid-points of these chords is.............
x^2 + y^2 - x = 0
x^2 + y^2 + x = 0
x^2 + y^2 - y = 0
x^2 + y^2 + y = 0
2x^2 + 2y^2 - x = 0