1. If radii of the two concentric circles are 15cm and 17cm , then find the length of each chord of one circle which is tangent to one other.

Ans. 16cm

2. If two tangents making an angle of 120

^{0 }with each other , are drawn to a circle of radius 6cm, then find the angle between the two radii, which are drawn to the tangents.

Ans. 600

3. PQ is a chord of a circle and R is point on the minor arc. If PT is a tangent at point P such that < QPT = 60 degree then find <PRQ.

Ans. 1200

that OQ = 12 cm then find the length of PQ.

Ans. √119cm

5. From a point P, two tangents PA and PB are drawn to a circle C(O,r) . If OP =2r ,then what is the type

of Triangle APB.

Ans. Equilateral triangle

6. If the angle between two radii of a circle is 130,then find the angle between the tangents at the end of the radii.

Ans. 500

7. ABCD is a quadrilateral. A circle centred at O is inscribed in the quadrilateral. If AB = 7cm , BC = 4cm , CD = 5cm then find DA. ' Ans. 8 cm

( 2 Mark Questions )

9. Two tangents PA and PB are drawn from an external point P to a circle with centre O. Prove that OAPB is a cyclic quadrilateral.

10. If PA and PB are two tangents drawn to a circle with centre O , from an external point P such that PA=5cm and < APB = 60, then find the length of the chord AB.

Ans. 5cm

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