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Q. 14. In two concentric circles, a chord of the larger circle touches the smaller circle. If the length of this chord is 8 cm and the diameter of the smaller circle is 6 cm, then find the diameter of the larger circle.

Sol .

Or

In Fig. 3, PA and PB are two tangents drawn to a circle with centre O, from an external point P such that PA = 5 cm and . Find the length of chord AB.

Sol .

PA = PB

Q. 15. Find the probability that a number selected at random from the numbers 3, 4, 5,…, 25 is prime.

Sol . Total given numbers = 23 Prime numbers are 3, 5, 7, 11, 13, 17, 19, 23 = 8
Prob. (Prime number) =

Mathematics 2009 Question Papers Class X
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