CBSE Class 10 Maths (Basic) 2024 · Paper 430/2/1 · Question 27(b)
Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.
Answer
In quadrilateral , (tangent perpendicular to radius), so . Hence the angle between the two tangents is supplementary to the angle subtended by at the centre. Hence proved.
🔒 Step-by-step solution
Sign up free to see every step of how it is worked out.
From the board papers
- CBSE Class 10 Maths (Basic) 2024 · Paper 430/2/1, Question 27(b) — all 38 questions with answers →
- CBSE Class 10 Maths (Standard) 2016 · Paper 30(B), Question 25 — all 31 questions with answers →
- CBSE Class 10 Maths (Standard) 2018 · Paper 30(B), Question 17 — all 30 questions with answers →
- CBSE Class 10 Maths (Standard) 2020 · Paper 30/3/1, Question 31(b) — all 40 questions with answers →
- CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1, Question 26(b) — all 38 questions with answers →
More questions from Circles
Class 10 Maths — every question with an expert-verified, step-by-step solution.
- Q1 How many tangents can a circle have?
- Q2 Fill in the blanks: (i) A tangent to a circle intersects it in ____…
- Q3 A tangent PQ at a point P of a circle of radius 5 cm meets a li…
- Q4 Draw a circle and two lines parallel to a given line such that on…
- Q4 Prove that the tangents drawn at the ends of a diameter of a ci…
- Q10 Prove that the angle between the two tangents drawn from an external…
- Q13 Prove that opposite sides of a quadrilateral circumscribing a ci…
- Q1 From a point Q, the length of the tangent to a circle is 24 cm and…
- Q2 In Fig. 10.11, if TP and TQ are the two tangents to a circle with…
- Q3 If tangents PA and PB from a point P to a circle with centre O a…
- Q5 Prove that the perpendicular at the point of contact to the tang…
- Q6 The length of a tangent from a point A at distance 5 cm from the…