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If x1,x2,x3 are in AP and y1,y2,y3 are also in AP,prove that the points (x1,y1),(x2,y2),(x3,y3) are collinear.

If x1,x2,x3 are in AP and y1,y2,y3 are also in AP,prove that the points (x1,y1),(x2,y2),(x3,y3) are collinear.

Grade:11

1 Answers

kamalesh bagrecha
21 Points
4 years ago
Since x1,x2,x3 are in ap hence x2-x1=x3-x2Sumilarly Y2-y1=y3-y2Divide both eq(y2-y1)/(x2-x1)=(y3-y2)/(y2-y1)Hence points are coliear

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