CBSE Class 10 Maths (Basic) 2020 · Paper 430/3/1 · Question 38(b)
Prove that the tangents drawn from an external point to a circle are equal in length.
Answer
Triangles and are congruent by RHS, so by CPCT ; hence the tangents from an external point are equal in length.
🔒 Step-by-step solution
Sign up free to see every step of how it is worked out.
From the board papers
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…