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How many circles can pass through three points which are not collinear?(a) One(b) Two(c) Three(d) FourI got this question during an online exam.Question is from Circles through Three Points topic in division Circles of Mathematics – Class 9

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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