Advertisements
Advertisements
प्रश्न
Find a relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.
Advertisements
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.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
