Q1. [1] § 10.1 Introduction § 10.4 Summary
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.
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