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Question

# Given three collinear points, then the number of circles which can be drawn through three points is :

A
Zero
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B
One
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C
Two
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D
Infinite
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Solution

## The correct option is A ZeroIf points lie on the same line, then they are called collinear pointsNo circle can be drawn lying on 3 collinear points.In the figure A ,B ,C are the collinear points.We cannot draw a single circle through three non collinear points.For us too draw a circle through three points, the three points have to be Collinear.so, option A will be the answer.

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