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A Line through the Center That Bisects the Chord Is Perpendicular to the Chord.

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Question 1
Write True or False and justify your answer :

Two chords AB and CD of a circle are each at a distance of 4 cm from the centre, then AB = CD.

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Solution

True

Consider the figure given below, chords AB and CD are equidistant from the centre of the circle hence they are equal in length.

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A B

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Q. Question 2
Write True or False and justify your answer :

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If each of two chords, $A B$ and $C D$ , of a circle are at a distance of 4 cm from the centre, then $A B = C D$ .

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A Line through the Center That Bisects the Chord Is Perpendicular to the Chord.

Standard IX Mathematics

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