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How many circles can pass through three points which are not collinear?

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in Mathematics - Class 9 by (679k points)
How many circles can pass through three points which are not collinear?

(a) One

(b) Two

(c) Three

(d) Four

I got this question during an online exam.

Question is from Circles through Three Points topic in division Circles of Mathematics – Class 9

1 Answer

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Best answer
Right answer is (a) One

Best explanation: According to theorem 10.5, there is one and only one circle passing through three given non-collinear points.

As can be seen in the diagram below, there can be only one circle through three non-collinear points A,B and C.

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