Exam Questions & Step-by-Step Markschemes (4 Problems)
Question 1 • 2023
4 Marks
Prove that the lengths of tangents drawn from an external point to a circle are equal.
Answer: PQ = PR \quad (\text{Proved by RHS Congruence})
Question 2 • 2023
3 Marks
Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
Answer: PQ \parallel RS \quad (\text{Proved via alternate interior angles})
Question 3 • 2023
3 Marks
Two concentric circles are of radii 5\text{ cm} and 3\text{ cm} . Find the length of the chord of the larger circle which touches the smaller circle.
Answer: AB = 8\text{ cm}
Question 4 • 2024
4 Marks
Prove that the lengths of tangents drawn from an external point to a circle are equal.
Answer: PQ = PR