Section A: Board level Questions
- Prove that the lengths of tangents drawn from an external point to a circle are equal.
- 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.
- A quadrilateral ABCD is drawn to circumscribe a circle. Prove that $AB + CD = AD + BC$.
- Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
- A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively. Find the sides AB and AC.
