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Mathematics — CBSE Class 10 board question

Q1. [1]
A statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option. 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.
  1. (a) Both, Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
  2. (b) Both, Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  3. (c) Assertion (A) is true but Reason (R) is false.
  4. (d) Assertion (A) is false but Reason (R) is true.
Previously asked in CBSE board exam
2025 30/4/1 Q20
Generated by claude-sonnet-4-6 · 2026-06-15 10:26 · grounding rag
Model Answer

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

Explanation

A is true: Tangents at endpoints of a diameter are perpendicular to the diameter (Theorem 10.1), so they are parallel to each other (both perpendicular to the same line).

R is true: Theorem 10.2 states tangents from an external point are equal in length.

R does not explain A: The parallelism of the tangents follows from the radius-tangent perpendicularity (Theorem 10.1), not from the equal-length property. So (b) is correct.

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