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Coordinate Geometry
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11/06/2021 11:40 am
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Find the relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.
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11/06/2021 11:41 am
Let (x, y), (1, 2) and (7, 0) are vertices of a triangle,
Area of a triangle = 1/2 × [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)] = 0
[x(2 – 0) + 1 (0 – y) + 7( y – 2)] = 0
2x – y + 7y – 14 = 0
2x + 6y – 14 = 0
x + 3y – 7 = 0.
Which is the required result.