CBSE Board Class 11 Math Previous Year Question Papers 2011


CBSE Board Previous Year Question Papers 2011 for Class 11 Math

Previous Paper – 2011
Class – XI
Subject - Mathematics


1. Write down all possible subsets of{1. ,{1}}

2. Show that, {[(())]}4nPPPφ=.

3. For any three sets ,AB andC, show using Venn diagram, ()()(ABCABAC∩−=∩−∩.

4. If and()700,()200,()300nUnAnB===()1nAB∩=, find('')nAB∩.

5. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked product A and B, 12 people liked products C and A, 14 people liked product B and C and 8 people liked all the three products. Find how many liked product C only.

6. Find the domain and the range of the real function f defined by()1fxx=−.

7. Find the domain and range of2()9gxx=−.

8. Let. Let {1,2,3,4,6}A=R be the relation of A defined by {(,):,,ababAb∈is exactly divisible by }a
1i) Write R is roster form.
2ii) Find the Domain of R
3iii) Find the Range ofR.

9. Find the domain and range of()13fxx=−−.

10. Solve, 25,3xRx>∈−.

11. Solve this inequality graphically: 210,1,0,0,0xyxyxyxy+≤+≥−≤≥≥.

12. Solve graphically:0,0,36,1447,1843,332≥≥≤−≤+−≤+≥+yxyxyxyxyx.

13. A manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18%?

14. Find the value oftan()8π.

15. Prove that, cotcot2cot2cot3cot3cot1xxxxxx−−.

16. Prove that, 22sin6sin4sin2sin10xxx−=.

17. Solve, cos. 3coscos20xxx+−=

18. If 3tan,42xxππ=<<, find the value of sin,cos22xx and tan2x.

19. If 1cot2α= and5sec3β−=, where 3(,)2παπ∈ and(,)2πβπ∈, find the value of tan()αβ+.

20. Solve, tantan2tantan21θθθθ++.

21. Prove that, t. an70tan202tan50=+

CBSE Board Best Sellers

In order to keep pace with technological advancement and to cope up with CBSE Board examinations, Pearson group has launched Edurite to help students by offering Books and CDs of different courses online.

Sign Up FREE

Get help on CBSE Board Previous Year Question Paper for class 11 Now

ALWAYS LEARNING