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Two fixed straight lines X - axis and y ...

Two fixed straight lines X - axis and y = mx are cut by a variable line in the points A(a,0) and B(b,mb) respectively .P and Q are the feet of the perpendiculars drawn from A and B upon the lines y = mx and X - axis ,Show that ,if AB passes through a fixed point (h,k) then PQ will also pass through a fixed point .

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The correct Answer is:
`((h+mk)/(1+m^(2)),(mh-k)/(1+m^(2)))((h+mk)/(1+m^(2)),(mh-k)/(1+m^(2)))`
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