Question

Find the relation between x and y if the point (x, y), (1,2), and (7,0) are colliner

Answer 1

hi here is ur answer friend .....

If given points are collinear then area of triangle formed by them must be zero.

Or, ½ [x1(y2 – y3) + x2 (y3 – y1) + x3 (y1 – y2)] = 0

Or, ½ [x(2 – 0) + 1 (0 – y) + 7( y – 2)] = 0

Or, 2x – y + 7y – 14 = 0

Or, 2x + 6y – 14 = 0

Or, x + 3y – 7 = 0

The last equation gives the relation between x and y.

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