# 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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