Question

Prove that the points (1,2), (4,-1),(-2,5) are collinear

Answer 1

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Answer 2

Step-by-step explanation:

Let A(1,2),B(2,1),C(−2,5) be the coordinates of a straight line.

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

Δ=

2

1

∣

∣

∣

∣

∣

∣

∣

∣

1

2

−2

2

1

5

1

1

1

∣

∣

∣

∣

∣

∣

∣

∣

=

2

1

[1(1−5)−2(2+2)+1(10+2)]

=

2

1

[1(−4)−2(4)+1(12)]

=

2

1

[−4−8+12]=0

Hence the given points are collinear.