Q1. [1]
For a circle with centre O and radius 5 cm, which of the following statements is true ?
P : Distance between every pair of parallel tangents is 5 cm.
Q : Distance between every pair of parallel tangents is 10 cm.
R : Distance between every pair of parallel tangents must be between 5 cm and 10 cm.
S : There does not exist a point outside the circle from where length of tangent is 5 cm.
- A P
- B Q
- C R
- D S
Previously asked in CBSE board exam
2025 30/6/1 Q10
Generated by claude-sonnet-4-6 · 2026-06-15 10:26 · grounding rag
Model Answer
Option B: Q
The distance between every pair of parallel tangents equals the diameter = 2 × 5 = 10 cm.
Explanation
Parallel tangents touch the circle at diametrically opposite points. The distance between them equals the diameter (2r = 10 cm), not the radius. Statement S is false because a point at distance $\sqrt{5^2+5^2}$ from centre gives tangent length 5 cm. Q is the only correct statement.
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.