Question

Find a relation between and , if the points (, ), (1, 2) and (7, 0) are collinear.​

Answer 1

Answer:

The given points are collinear then the area of triangle formed by these points will be 0

∴21[x1(y2−y1)+x2(y3−y1)+x3(y1−y2)]=0

Here (x1,y1)=(x,y)

(x2,y2)=(1,2)

(x3,y3)=(7,0)

⟹21[x(2−0)+1(0−y)+7(y−2)]=0

⟹21[2x−y+7y−14]=0

⟹21[2x+6y−14]=0

⟹2x+6y−14=0

⟹x+3y−7=0

Hence this is the required relation between x and y.