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Question

Find equation of line joining (1,2) and (3,6) using determinants.

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Solution

Let P(x,y) be any point on the line joining points A(1,2) and B(3,6)

Then, the points A, B and P are collinear. Therefore, the area of triangle ABP will be zero.

12∣ ∣121361xy1∣ ∣=0

6y6+2x+3y6x=0

y=2x

Hence, the equation of the line joining the given points is y=2x.

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