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Which of the Following Statements Are True and Which Are False? in Each Case Give a Valid Reason for Saying So. Q: the Centre of a Circle Bisects Each Chord of the Circle. - Mathematics

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Question

Which of the following statements are true and which are false? In each case give a valid reason for saying so.

q: The centre of a circle bisects each chord of the circle.

Solution

The given statement q is false.

If the chord is not the diameter of the circle, then the centre will not bisect that chord.

In other words, the centre of a circle only bisects the diameter, which is the chord of the circle.

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Chapter 14: Mathematical Reasoning - Exercise 14.5 [Page 343]

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NCERT Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise 14.5 | Q 5.2 | Page 343

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