Assertion: A diameter of a circle is the longest chord of the circle and all diameters have equal length.

Reason: Length of a diameter = radius.
Which of the following options is correct?

Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

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Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

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Assertion is correct but reason is incorrect.

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Assertion is incorrect but Reason is correct.

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Solution

The correct option is B Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
Length of diameter = 2 $\times$ radius.
So, Reason is false.
Also, chord is a line connecting two points on a circle. The farthest points are the ones which are collinear to the centre of the circle. Points collinear to the centre of the circle are joined by the diameter. Hence diameter is the longest chord.
Assertion is correct but Reason is false.

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