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Two chords AB and AC of a circle with centre O are on the opposite sides of OA. Then ∠OAB = ∠OAC . - Mathematics

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Question

Two chords AB and AC of a circle with centre O are on the opposite sides of OA. Then ∠OAB = ∠OAC .

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

We have,


In ΔOAB and ΔOAC,

OA = OA  ...[Common]

OB = OC  ...[Radii of a same circle]

Here, we are not able to show that either any angle or third side is equal and ΔOAB is not congruent to ΔOAC.

∴ ∠OAB ≠ ∠OAC

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Chapter 10: Circles - Exercise 10.2 [Page 101]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 10 Circles
Exercise 10.2 | Q 2. | Page 101

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