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Previous Year Question (PYQs)

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A:
If two circles intersect at two points, then the line joining their centres is perpendicular to the common chord.

Reason R:
The perpendicular bisectors of two chords of a circle intersect at its centre.
In the light of the above statements, choose the correct answer from the options given below:




Solution

Assertion A is a standard geometric property of intersecting circles ⇒ True.

Reason R is also true (property of chords in a circle), but it does not directly explain why the line joining centres is perpendicular to the common chord of two circles.

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