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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 10.1 Introduction § 10.4 Summary
In Q. No. 19 and 20 a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option. Assertion (A) : The tangents drawn at the end points of a diameter of a circle, are parallel. Reason (R) : Diameter of a circle is the longest chord.
  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 correct explanation for 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
2024 30/1/1 Q19
Generated by claude-sonnet-4-6 · 2026-06-15 10:28 · grounding rag
Model Answer

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

Explanation

A is true: The tangent is perpendicular to the radius at the point of contact (Theorem 10.1). At both ends of a diameter, the radii point in opposite directions, so both tangents are perpendicular to the same line (the diameter), making them parallel.

R is true: The diameter is indeed the longest chord of a circle.

R does not explain A: The parallelism of the tangents follows from Theorem 10.1 (tangent ⊥ radius), not from the diameter being the longest chord. Hence option (b).

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