Question

Find the relation between 'x' and 'y' , if the points (x,y) ,(1,2) ,(7,0) are collinear.

Answer 1

Answer:

let A(x,y) , B(1,2) , C(7,0) be the given points.

⇒area(ABC)=0

  area(ABC)=1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]

⇒            0  =1/2[x(2-0)+1(0-y)+7(y-2)]

               0  =x(2-0)+1(0-y)+7(y-2)

              0  =2x+o-y+7y-14

              0  =2x-y+7y-14

              0  =2x+6y-14

              0  =x+3y-7

              7-3y=x

            ∴x=7-3y

Step-by-step explanation: