Question

1. In the adjoining figure, PA and PB are tangents from P to a circle with centre. C If ∠APB = 40° then find ∠ACB.(1 Mark)
2. In the given figure, PT is a tangent to the circle and O is its centre. Find OP.(1 Mark)
3. If O is the centre of the circle, then find the length of the tangent AB in the given figure.(1 Mark)
4. From a point P, the length of the tangent to a circle is 12 cm and distance of P from the centre of the circle is 17 cm, then what is the radius of the circle?(2 Marks)
5. Prove that the tangents drawn at the ends of a chord of a cricle make equal angles with the chord.(2 Marks)
6. Two concentric circle have a common centre O. The chord AB to the bigger circle touches the smaller circle at P. If OP = 3 cm and AB = 8 cm then find the radius of the bigger circle.(3 Marks)
7. Given two concentric circle of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the other circle.(3 Marks)
8. In a right ΔABC, right angled at B, BC = 5 cm and AB = 12 cm. The cirlce is touching the sides of ΔABC. Find the radius of the circle.(4 Marks)
9. Prove that the parallelogram circumscribing a circle is a rhombus.(3 Marks)
10. In the following figure, OP is equal to diameter of the circle. Prove that ABP is an equilateral triangle.(5 Marks)

Answer 1

Answer:

Two concentric circle have a common centre O. The chord AB to the bigger circle touches the smaller circle at P. If OP = 3 cm and AB = 8 cm then find the radius of the bigger circle.(3 Marks)

7. Given two concentric circle of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the other circle

Answer 2

Answer:

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