if the points (x,y) , (1,2) and (7,0) are collinear, then find the relation between'x' and y is given by
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Points A (x,y), B (1,2) and C(7,0) will be collinear if the area of the triangle formed by these points is zero.
Here x1 = x, y1 = y, x2 = 1, y2 = 2, x3 = 7, y3 = 0
Substituting the values, Area of ABC = 2x + 6y -14
Now area of ABC = 0
2x + 6y -14 = 0
x + 3y = 7
Explanation:
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