Question

the relation between X and Y if the points(x,y),(1,2)and (7,0) are collinear is

Answer 1

Let,

A(x,y)

B(1,2)

C(7,0)

The area of ABC will be equal to 0

ar(ABC)=0 (then these points wil be collinear.

⇒1\2*[x(2-0)+1(0-y)+7(y-2)]=0

2x-y+7y-14=0

2x+6y=14

x+3y=7

∴x=7-3y

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