Vardaan Learning Institute

Q1. For a circle with centre O and radius 5 cm, which of the following statements is true?

• (A) Distance between every pair of parallel tangents is 5 cm.
• (B) Distance between every pair of parallel tangents is 10 cm.
• (C) Distance between every pair of parallel tangents must be between 5 cm and 10 cm.
• (D) There does not exist a point outside the circle from where length of tangent is 5 cm.

Q2. In figure, AP and AQ are tangents with centre O. If reflex \(\angle POQ = 210�\), the value of \(2x\) is

• (A) \(30�\)
• (B) \(60�\)
• (C) \(120�\)
• (D) \(300�\)

Q18. In figure, PA and PB are tangents with \(\angle P = 90�\). If \(AB = 3\sqrt{2}\) cm, then the diameter is

• (A) \(3\sqrt{2}\) cm
• (B) \(6\sqrt{2}\) cm
• (C) 3 cm
• (D) 6 cm

Q29. In figure, TP and TQ are tangents. If \(\angle OPQ = 15�\) and \(\angle PTQ = \theta\), find \(\sin 2\theta\).