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Question

Relation between x and y, if the points (x,y),(1,2) and (7,0) are collinear is _____

A
x+3y=7
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B
x+3y=14
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C
x+3y=7
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D
x+3y=14
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Solution

The correct option is A x+3y=7

For the points AB=(x,y),BC=(1,2) and CD=(7,0) to be collinear they must have area =0.

Thus, area of a triangle ABC = 12(x1(y2y3)+x2(y3y1)+x3(y1y2))=0

=12(2x×2+6y14)=0

=(2x+6y14)=0

Thus, we have the relation x+3y=7 for the points to be collinear.


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