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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.

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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.

MCQ
Assertion and Reasoning
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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.

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Chapter 20: Additional Questions - Circles [Page 1020]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 20 Additional Questions
Circles | Q 1. | Page 1020
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