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Let P (x1,y1) be a point and let ax + by...

Let `P (x_1,y_1)` be a point and let `ax + by+ c = 0` be a line. If` L (h, k)` is the foot of perpendicular drawn from `P` on this line and `Q (alpha, beta)` is the image of `P` in the given line, then prove that
(i)`(h - x1)/a = (k - y1)/b = -(ax_1 + by_1 + c)/(a^2 + b^2).`
(ii)`(alpha-x)/a=(beta-y)/b=2(ax_1 + by_1 + c)/(a^2 + b^2).`

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