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प्रश्न
Find a relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.
उत्तर
If the given points are collinear, then the area of triangle formed by these points will be 0.
Area of Triangle = `1/2 {x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)}`
Area = `1/2[x(2-0)+1(0-y)+7(y-2)]`
`0=1/2[2x-y+7y-14]`
`0=1/2[2x+6y-14]`
2x+6y-14=0
x+3y-7 =0
This is the required relation between x and y.
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