NCERT · Class 10 · Mathematics · CirclesTangents TP and TQ are drawn to a circle with centre O from an external point T such that ∠POQ = 110°. Then ∠PTQ is equal to:
Step-by-Step Solution
The sum of the angles between the tangents and the radius at the points of contact is 180°. Therefore, ∠PTQ + ∠POQ = 180° ⇒ ∠PTQ = 180° - 110° = 70°.
Detailed Options Breakdown
Option : 60°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Circles.
Option 1: 70° (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 80°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Circles.
Option 3: 90°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Circles.
💡 Study Guide: This question tests core syllabus concepts from Circles. For formulas, key summaries, and mock exam reference guides, read the full Circles Revision Notes.