📚 CBSE Grade-10 Study Guide Open in the Study Guide single page app →
HomeMathematics

Mathematics — CBSE Class 10 board question

Q1. [1]
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.

If a question refers to an image, map, graph or diagram that is not shown here, open the Study Guide single page app, go to Library and find the actual CBSE question paper. The original papers are also available on the CBSE website: cbse.gov.in.
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.