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Q. 4. Write the common difference of an A.P. whose nth term is 3n + 5.

Ans . 3

Sol. nth term, an= 3n + 5
When n = 1, a1 = 3(1) + 5 = 8
When n = 2, a2 = 3(2) + 5 = 11
Common difference, d = a2 – a1 = 11 – 8 = 3

Q. 5. Write the value of

Ans . – 5

Sol.

.

= 5 tan2 - 5 sec2
= -5(sec2 - 5 tan2 ) =-5 (1) = -5

Q. 6. In Fig. 2, ST || QR, PS = 2 cm and SQ = 3 cm. What is the ratio of the area of PQR to the area of PST?

Ans. 25 : 4

Sol. PQR and PST

Mathematics 2009 Question Papers Class X
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