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Class 9-10, JEE & NEET
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If A, B, C and D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
Because, there can be many points D, such that ∠BDC = 60° and each such point cannot be the centre of the circle through A, B and C.