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  # Jee Mains Year 2015 Maths Solutions
  
  ## Maths Year 2015 Maths Jee Mains Solutions
  
  Free Jee Mains video solutions with Jee Mains 2015 question paper for Maths. Doubtnut provides Jee Mains solution of 2015 for Maths with Jee Mains 2015 question paper.
  
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  ### JEE MAINS Class 11 | SETS
  
  Let `A and B` be two sets containing four and two elements respectively. Then the number of subsets of the set `A xx B,` each having at least three elements is : (1) `219` (2) `256` (3) `275` (4) `510`
  
  ### JEE MAINS Class 11 | COMPLEX NUMBERS
  
  A complex number z is said to be unimodular if . Suppose `z_1` and `z_2` are complex numbers such that `(z_1-2z_2)/(2-z_1z_2)` is unimodular and `z_2` is not unimodular. Then the point `z_1` lies on a : (1) straight line parallel to x-axis (2) straight line parallel to y-axis (3) circle of radius 2 (4) circle of radius `sqrt(2)`
  
  ### JEE MAINS Class 11 | QUADRATIC EQUATIONS
  
  Let `alpha` and `beta` be the roots of equation `x^2-6x-2""=""0` . If `a_n=alpha^n-beta^n ,""for""ngeq1` , then the value of `(a_(10)-2a_8)/(2a_9)` is equal to: (1) 6 (2)`-6` (3) 3 (4) `-3`
  
  ### JEE MAINS Class 12 | MATRICES
  
  If `A=[(1,2,2),(2,1,-2),(a,2,b)]` is a matrix satisfying the equation `A A^T=9I`, where `I` is `3xx3` identity matrix, then the ordered pair `(a,b)` is equal to : (A) `(2,-1)` (B) `(-2,1)` (C) `(2, 1)` (D) `(-2,-1)`
  
  ### JEE MAINS Class 12 | MATRICES
  
  The set of all values of `lambda` for which the system of linear equations : `2x_1-2x_2+""x_3=lambdax_1` `2x_1-3x_2+""2x_3=lambdax_2` `-x_1+""2x_2=lambdax_3` has a non-trivial solution, (1) is an empty set (2) is a singleton (3) contains two elements (4) contains more than two elements
  
  ### JEE MAINS Class 11 | PERMUTATIONS AND COMBINATIONS
  
  The number of integers greater than `6,000` that can be formed, using the digits `3, 5, 6, 7 and 8,` without repetition, is :
  
  ### JEE MAINS Class 11 | BINOMIAL THEOREM
  
  The sum of coefficients of integral powers of x in the binomial expansion of `(1-2sqrt(x))^(50)` is: (1) `1/2(3^(50)+1)` (2) `1/2(3^(50))` (3) `1/2(3^(50)-1)` (4) `1/2(2^(50)+1)`
  
  ### JEE MAINS Class 11 | SEQUENCES AND SERIES
  
  If m is the A.M. of two distinct real numbers `l` and `n""(""l ,""n""&gt;""1)` and` G_1, G_2` and `G_3` are three geometric means between `l` and n, then `G_1^4+2G_2^4+G_3^4` equals, (1) `4l^2` mn (2) `4l^m^2` mn (3) `4l m n^2` (4) `4l^2m^2n^2`
  
  ### JEE MAINS Class 11 | SEQUENCES AND SERIES
  
  The sum of first 9 terms of the series `(1^3)/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+2+3)+. . . . .` is (1) 71 (2) 96 (3) 142 (4) 192
  
  ### JEE MAINS Class 11 | LIMITS AND DERIVATIVES
  
  `(lim)_(xvec0)((1-cos2x)(3+cosx)/(xtan4x)` is equal to: (1) 4 (2) 3 (3) 2 (4) `1/2`
  
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