2025 · Standard · Set 4 · Part 1·Q24·2 marks
Introduction to Trigonometry
Question
Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
Approach
Let AB be diameter. Tangents at A and B are perpendicular to AB (tangent perpendicular to radius). So both make 90° with AB, hence they are parallel by alternate interior angles being equal.
Step-by-step working
- 1
Draw correct figure with diameter and tangents
0.5 marks - 2
Show
0.5 marks - 3
Conclude co-interior angles sum to 180°, so tangents are parallel
1 mark
Concepts used
tangentdiameterparallel lines
Similar question types
- (a) Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in disti…2026 · Set 2 Part 1 · 5 marks
- In a , P and Q are points on AB and AC respectively such that . Prove that the…2025 · Set 4 Part 2 · 5 marks
- In a , P and Q are points on AB and AC respectively such that . Prove that the…2025 · Set 4 Part 1 · 5 marks
- In the given figure, and . Prove that : .2026 · Set 4 Part 2 · 2 marks
Stuck on a similar question? Ask the Aethez tutor — it walks you through any Class 10 Maths question step by step.