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Q. 7. In Fig. 2, PA and PB are tangents drawn from a point P to the circle with centre O. If

Ans . 120

Sol .

Q. 8. What is the angle subtended at the centreof a circle of radius 7 cm, by an arc of length 11 cm?

Ans . 90°

Sol .

Q. 9. What is the common difference of an AP whose nth term is 3 + 5n? 1

Sol .

nth term,                       an = 3 + 5n

When n = 1,                 a1 = 3 + 5(1) = 8

When n = 2,                  a2 = 3 + 5(2) = 3 + 10 = 13

Common difference, d = a2 – a1 = 13 – 8 = 5

Q. 10 . What is the probability that two friends have different birthdays? 1

Sol .

Total no. of days in a year = 365

Mathematics 2009 Question Papers Class X
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