CBSE Board Class 11 Math Previous Year Question Papers 2005

CBSE Board Previous Year Question Papers 2005 for Class 11 Math

Sample Paper – 2005
Class – XI
Subject – Mathematics


1. How many chords can be drawn through 21 points on a circle ?

2. A bag contains 5 black and 6 red balls. Determine the number of ways in
    which 2 black and 3 red balls can be selected?

3. Find the 4th   term in the expansion of ( x – 2 y )12

4. If    1   +   1   =   x     find x
         6!        7!       8!

5. Determine n , if n-1P3 : nP4 = 1 : 9

6. Find the independent term in the expansion of ( 3 x2 -   1 )6
                                                                                     2        3x

7. Find a positive value of m for which the coefficient of x2 in the expansion ( 1 + x )m is 6

8. Prove that nCr + nCr – 1 = n+1Cr

9. Show that the middle term in the expansion of ( 1 + x )2n is
    1.3.5….( 2n – 1 ) 2n .xn ,    Where n is a positive integer .
                      n!

10. The coefficient of the ( r-1 )th , rth and ( r + 1 )th terms in the expansion of
      ( x + 1 )n are in the ratio 1 : 3 : 5 . Find n and r ?

11. How many chords can be drawn through 21 points on a circle ?

12. A bag contains 5 black and 6 red balls. Determine the number of ways in
    which 2 black and 3 red balls can be selected?

13. Find the 4th   term in the expansion of ( x – 2 y )12

14. If    1   +   1   =   x     find x
         6!        7!       8!

15. Determine n , if n-1P3 : nP4 = 1 : 9

16. Find the independent term in the expansion of ( 3 x2 -   1 )6
                                                                                     2        3x

17. Find a positive value of m for which the coefficient of x2 in the expansion ( 1 + x )m is 6

18. Prove that nCr + nCr – 1 = n+1Cr

19. Show that the middle term in the expansion of ( 1 + x )2n is
    1.3.5….( 2n – 1 ) 2n .xn ,    Where n is a positive integer .
                      n!

20. The coefficient of the ( r-1 )th , rth and ( r + 1 )th terms in the expansion of
      ( x + 1 )n are in the ratio 1 : 3 : 5 . Find n and r ?

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