Loading DocumentMax marks:40. XI - MATHEMATICS.
Timing :1.30 Hrs. Part -A (2×10 =20)
Answer the following questions:
1.How many numbers greater than 1000000 can be formed by using the digits 1, 2, 0, 2, 4, 2, 4?
2.How many 2 digit even numbers can be formed from the digits 1, 2, 3, 4, 5 if the digits can be repeated?
3.A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
4.Evaluate n!/r!(n-r)!,
when n = 5, r = 2
5.If 1/6! + 1/7! = x/8!, find x.
6. How many 4-digit numbers are there with no digit repeated?
7.If nC8 = nC2,
find nC2.
8.Evaluten→1limx15−1x10−1.
9.Find the derivative of the function f(x) = 2x2+ 3x – 5 at x = –1. Also prove f′(0)+3f′(−1)=0.
10.Compute the derivative of tan x.
PART: B. (4⋅x 5 = 20)
11. a)Find the derivative of 99x at x = l00.
b) Find the derivative of cos x from first principle.
12.For some constants a and b, find the derivative of
a)(x-a) (x-b)
b) (ax2+b)2
c) x−bx−a
13.What is the number of ways of choosing 4 cards from a pack of 52playing cards? In how many of these
(i) four cards are of the same suit,
(ii) four cards belong to four different suits,
(iii) are face cards,
(iv) two are red cards and two are black cards,
(v) cards are of the same colour?