Q. 12 B4.5( 2 Votes )

Using determinant

Answer :

Given: – (3, 1) and (9, 3) are collinear points


Tip: – For Three points to be collinear, the area of triangle formed by these points will be zero


Now, we know that,


Vertices of a triangle are (x1,y1), (x2,y2) and (x3,y3), then the area of the triangle is given by:



Now,


Let, 3rd point be (x,y)


Substituting given value in above formula




Expanding along R1



[x(– 2) – y(– 6) + 1(0)] = 0


– 2x + 6y = 0


x – 3y = 0


It’s the equation of line


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