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Assertion (A): A line drawn perpendicular to the tangent at the point of contact passes through the centre of the circle. Reason (R): Lengths of tangents drawn from an external point - Mathematics

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Question

Assertion (A): A line drawn perpendicular to the tangent at the point of contact passes through the centre of the circle.

Reason (R): 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 the correct explanation of the Assertion (A).

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

Explanation:

The assertion is correct since the line drawn perpendicular to the tangent at the point of contact is the radius, and a radius always passes through the center. The reason is also true, but it does not explain the assertion.

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2024-2025 (March) Standard Official Delhi set 2
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