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If A, B, C and D are four points such that ∠BAC = 45° and ∠BDC = 45°, then A, B, C, D are concyclic. - Mathematics

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Question

If A, B, C and D are four points such that ∠BAC = 45° and ∠BDC = 45°, then A, B, C, D are concyclic.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

Given: ∠BAC = 45° and ∠BDC = 45°

As we know that, angles in the same segment of a circle are equal.

Hence, A, B, C and D are concyclic.

Hence, the given statement is true.

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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 9. | Page 102
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