Question 51

A, B, C are three points so that AB = 4 cm, BC = 6 cm and AC = 10 cm. The number of circles passing through the points A, B, C is:

Solution

AB + BC = 4 + 6 = 10 cm

AB + BC = AC

$$\Rightarrow$$  A, B, C are collinear points

$$\therefore\ $$No circle can be formed using three collinear points

Hence, the correct answer is Option C


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