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Circles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsCircles1 Mark
Question
If $A, B, C, D$ are four points such that $\angle\text{BAC}=30^\circ$ and $\angle\text{BDC}=60^\circ$ then $D$ is the centre of the circle through $A, B$ and $C.$
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Answer

Because, there can be many points $D,$ such that $\angle\text{BDC}=60^\circ$ and each such point cannot be the centre of the circle through $A, B$ and $C.$

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