Question

If the points A(1,2), O(0,0) and C(a, b) are collinear, then​

Answer 1

Answer:

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Step-by-step explanation:

Since the given points are collinear, they do not form a triangle, which means

area of the triangle is Zero.

Area of a triangle with vertices (x1,y1) ; (x2,y2)  and (x3,y3)  is ∣∣∣∣∣2x1(y2−y3)+x2(y3−y1)+x3(y1−y2)∣∣∣∣∣

Hence, substituting the points (x1,y1)=(1,2) ; (x2,y2)=(0,0)  and (x3,y3)=(a,b)

in the area formula, we get

∣∣∣∣∣21(0−b)+0(a−1)+a(2−0∣∣∣