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Question

Show that the points (1,7),(3,5),(4,8) are collinear.

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Solution

Let A(1,7),B(3,5),C(4,8) be the coordinates

The given points are said to be collinear if area of ABC=0

Δ=12∣ ∣131351481∣ ∣

=12[1(5+8)7(34)+1(24+20)]

=12[1(3)7(1)+1(4)]

=12[3+74]=0

Hence the given points are collinear.

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