cbse class 11 maths sample papers

this is for class 11 students, we are providing bunch of selected questions for maths,

cbse class 11 sample papers

for complete file please download pdf file, 

i.            1. Solve system of linear equation  x/(2x+1) > 1/4 and 6x/(4x-1) < 1/2
       2. Find square root of –15 – 8i.
        3. Using principle of M.I. Show that 4n + 15n – 1 is divisible by 9 for all n ɛ N
        4. Solve Trigonometric equation 
                                
        5.  How many numbers are there between 100 and 1000 such that 7 is in the units place?
        6. In how many ways 4 prizes can be distributed in 5 students such that
               i). No student gets more than one prize.        ii). A student gets any no of prizes.
        7. If there are n number of A.M’s between 3 and 17. The ratio of last mean to the first mean                  is 3:1 then find value of n.
        8. Express complex number (1+2i)/(1-3i) in polar form
        9. Prove that i). (AՈB)’ = A’ U B’              ii). AՈ(BUC) = (AՈB)U(AՈC)
        10. In how many ways can the letters of the word “PENCIL” be arranged so that
               i). N is always next to E.                  ii). N and E are always together 
        11. Using Binomial expansion show that 9^(n+1) – 8n – 9 is divisible by 64.
        12. If S1, S2, S3 are the sum of first n, 2n and 3n terms of a G.P. respectively then prove that                                    S1 (S3 – S2) = (S– S1)^2

 CBSE sample papers for class 11 maths

        13. solution of 8% boric acid is diluted by adding 2% boric acid solution to it, the resulting                 mixture is to be more that 4% but less than 6% boric acid if there are 640 litters of 8%                   solution, how many litters of 2% solution will have to be added.
        14. Prove that Sin 20. Sin 40. Sin 60. Sin 80 = 3/16
        15. solve system of linear equations graphically.
              2x + 3y > 3,      3x + 4y ≤ 18,        –7x + 4y ≤ 14,        x – 6y ≤ 3,      x > 0,    y > 0
        16. If Z is a complex number such that |z| = 1, then prove that (z-1)/(z+1) is purely imaginary
        17. In survey of 25 students, it was found that 15 had taken mathematics, 12 had taken                         physics, and 11 had taken chemistry, 5 had taken mathematics and chemistry, 9 had                       taken mathematics and physics, 4 had taken physics and chemistry and 3 had taken all                   the three subjects. Find the number of students that had-
                 i.   Physic and chemistry but not maths.
                ii.  Only one of the subjects
               iii.   At least one of the three subjects.
               iv.    None of the subjects.
        this is just sample paper for class 11 students, for complete file please download pdf file,
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