find the locus of midpoints of the chords to the circle (x-3)^2+(y-2)^2=1 passing through the point (3,7)

i m following this question.. its a tricky one... i need to see the solution .. :D
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Find the locus of midpoint of the chords to the circle (x-3)2+(y-2)2=1 passing through the point(3,7)
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Let midpoint be (h,k) then we know that perpendicular from the centre to the chord is its perpendicular bisector so we get a line from centre ie. (3,2) to midpoint (h,k) which is perpendicular to the line from (h,k) to (3,7) as it lies on the chord. Use m1*m2=(-1) and get the required equation.
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I know that question is very difficult here is ur answer (3, 7)
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