Subject - Mathematics:

Coordinate Geometry

MCQ - 464-9196

Question:

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

a = b
a = 2b
2a = b
a = 2b

Correct Answer: C

Explanation:

Three points A, B, C are said to be collinear if,
Area of triangle formed by three points is zero
⇒ Formula of Area of Triangle of three points is given as follows:
⇒ Area, A

⇒ 1/2 × {[-b×1] – [-a×2]} = 0
⇒ 2a-b = 0
⇒ 2a = b<
> Hence Proved

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