40. All chords through an external point to the circle x^2+y^2=16 are drawn having length I which is a positive integer. The sum of the squares of the distances fromcentre of circle to these chords is(a) 154 (b) 124 (c) 172 (d) 128

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From origin, chords are drawn to the circle $x^{2} + y^{2} - 2 y = 0$ .The locus of the middle points of these chords is

From the origin chords are drawn to the circle $(x - 1)^{2} + y^{2} = 1$ . The equation of the locus of the middle points of these chords is

x^{2} + y^{2}

= 0

{(x - 1)}^{2} + y^{2} = 1

x^{2} + y^{2} - 2 a x = 0

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