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Question
Assertion (A): A tangent to a circle is perpendicular to the radius through the point of contact.
Reason (R): The lengths of tangents drawn from an external point to a circle are equal.
Options
Both Assertion (A) and Reason (R) are true and Reason (R) gives the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) does not give the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
Solution
Both Assertion (A) and Reason (R) are true but Reason (R) does not give the correct explanation of Assertion (A).
Explanation:
Assertion: A circle's tangent is always perpendicular to its radius through the point of contact.
Reason: Tangents drawn from an exterior point to a circle have the same length.
As a result, both reason and assertion are valid, but assertion is not the proper justification for reason.
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