Q. 2

# Determine whether

Answer :

If Three points (a,b), (c,d), (e,f) are collinear then the area formed by the triangle by the three points is zero.

Area of a triangle = ...(1)

1.
(a,b) = (1,-3)

(c,d) = (2,-5)

(e,f) = (-4,7)

Area = Area = = 0

Hence the points are collinear.

2.
(a,b) = (-2,3)

(c,d) = (1,-3)

(e,f) = (5,4)

Area = Area = Hence the points are not collinear.

3.
(a,b) = (0,3)

(c,d) = (2,1)

(e,f) = (3,-1)

Area = Area = Hence the points are non collinear.

4.
(a,b) = (-2,3)

(c,d) = (1,2)

(e,f) = (4,1)

Area = Area = Hence the points are collinear.

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