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Assertion (A): Tangents drawn at the end points of a diameter of a circle are always parallel to each other. - Mathematics

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Question

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

Reason (R): The lengths of tangents drawn to a circle from a point outside the circle are always equal.

Options

  • Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

  • Assertion (A) is true, but Reason (R) is false.

  • Assertion (A) is false, but 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 the correct explanation of Assertion (A).

Explanation:

Tangents drawn at the endpoints of a diameter are parallel because both are perpendicular to the same line, namely the diameter. The property that tangents from an external point are equal in length does not account for this fact.

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