Question : A, B, and C are three points such that AB = 9 cm, BC = 11 cm, and AC = 20 cm. The number of circles passing through points A, B, and C is:
Option 1: 2
Option 2: 0
Option 3: 1
Option 4: 3
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Correct Answer: 0
Solution :
Given: A, B, and C are three points such that AB = 9 cm, BC = 11 cm, and AC = 20 cm.
Here, AB + BC = 9 + 11 = 20 = AC
So, no triangles can be formed using the given three sides.
Therefore, no circle will pass through the given three points.
Hence, the correct answer is 0.
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