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Write True or False. Give reasons for your answers. A chord of a circle, which is twice as long as its radius, is a diameter of the circle. - Mathematics

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Question

Write True or False. Give reasons for your answers.

A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

Options

  • True

  • False

MCQ
True or False

Solution

True.

Let AB be a chord which is twice as long as its radius. It can be observed that in this situation, our chord will be passing through the centre of the circle. Therefore, it will be the diameter of the circle.

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Chapter 10: Circles - Exercise 10.1 [Page 171]

APPEARS IN

NCERT Mathematics [English] Class 9
Chapter 10 Circles
Exercise 10.1 | Q 2.4 | Page 171
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