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Assertion (A): The tangents drawn at the end points of a diameter of a circle are parallel to each other. Reason (R): A tangent to a circle is perpendicular to the radius through the point of contact.

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Question

Assertion (A): The tangents drawn at the end points of a diameter of a circle are parallel to each other.

Reason (R): A tangent to a circle is perpendicular to the radius through the point of contact.

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 and Reason (R) is a correct explanation of Assertion (A).

Explanation:

Both A and R are true. At each endpoint of a diameter, the tangent is perpendicular to the radius and each radius lies on the diameter. Thus, both tangents are perpendicular to the same line and are therefore parallel. R correctly explains A.

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Chapter 20: Additional Questions - Circles [Page 1021]

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10
Chapter 20 Additional Questions
Circles | Q 2. | Page 1021
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