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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) is a correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
Assertion (A) is true and Reason (R) is false.
Assertion (A) is false and Reason (R) is true.
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Solution
Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
Explanation:
Both A and R are true. A states that a tangent is perpendicular to the radius at the point of contact, while R states that tangents from an external point have equal lengths. These are separate properties, so R does not explain A.
