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Question

Question 2 (iv)
Write True or False: Give reasons for your answers.

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

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Solution

True

A chord of a circle which passes through the centre of the circle is called the diameter of the circle, which is twice as long as the radius of the circle.
Consider the figure given below, AB is a chord which passes through the centre of the circle and is twice the radius of the circle.Hence AB is the diameter of the circle.

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