Let A and B be two moving points on x^(2)+y^(2)-10x-14y+65=0 . Let M be the mid-point of AB and P=(6,8). It is given that PAB is a straight line, find the equation of locus of M.Let m be the slope of PAB
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Equation of PAB
y-8 = m(x-6)
y = m(x-6) + 8
to find A and B:
put y = m(x-6) + 8 into x^(2)+y^(2)-10x-14y+65=0
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