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

Q1. [1] § 10.2 Tangent to a Circle § 10.3 Number of Tangents from a Point on a Circle § 10.4 Summary
The tangents drawn at the extremities of the diameter of a circle are always:
  1. A parallel
  2. B perpendicular
  3. C equal
  4. D intersecting
Previously asked in CBSE board exam
2025 30/1/1 Q7
Generated by claude-sonnet-4-6 · 2026-06-15 10:21 · grounding rag
Model Answer

Option A – Parallel.

Since a tangent is perpendicular to the radius at the point of contact, both tangents at the ends of a diameter are perpendicular to the same diameter, making them parallel to each other.

Explanation

Theorem 10.1 states tangent ⊥ radius at point of contact. The two tangents at the extremities of a diameter are both perpendicular to the same line (the diameter), so by geometry they must be parallel. Exercise 10.2, Q.4 directly asks students to prove this. Examiners expect option A with a one-line justification.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.