Mathematics
Class XI
Time: 3 Hours
Max.
Marks: 100
General Instructions:
- All questions are compulsory.
- The Question Paper consists of 30 Questions
divided into Two
sections A and B.
- Use of calculators is not permitted.
Section: A
(one mark each)
1.
Find a if the 17th and 18th terms of the
expansion of (2 + a)50 are equal
2.
Find the value of K such that the line joining
the points (2, K) and (-1, 3) is parallel to the line joining (0, 1) and (-3,
1).
3.
Three coins are tossed once. Find the
probability of getting at most 2 heads.
4.
Describe the sample space when a coin is tossed
four times.
5.
Find the middle term in the expansion of (1 +
x)2n, where n is a positive integer
6.
Find the equation of the line that has y
intercept 4 and is parallel to the line 2x- 3y =7
Section: B
(Three mark each)
7.
Find the mean and variance of first n natural
numbers.
8.
In a lottery, a person choses six different natural
numbers at random from 1 to 20, and if these six numbers match with the six
numbers already fixed by the lottery committee, he wins the prize. What is the
probability of Winning the prize in the game.
9.
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