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If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.

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Question

If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

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.

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Chapter 10: Circles - Exercise 10.2 [Page 102]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 10 Circles
Exercise 10.2 | Q 8. | Page 102

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