CBSE Guess > Papers > Question Papers > Class X > 2009 > Mathematics > Mathematics

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

Ans . 3

Sol. n^th term, a_n= 3_n + 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

Mathematics 2009 Question Papers Class X
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