Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Matrices and Determinants question

2020 · 4 Sep · Shift 2 · Q24
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Matrices and Determinants
  5. /2020 · 4 Sep · Shift 2 · Q24

Matrices and Determinants question

2020 · 4 Sep · Shift 2 · Q24

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If the system of equations x+y+z=2 2x+4y–z=6 3x+2y+λ\lambdaλ z=μ\muμ has infinitely many solutions, then
  1. A
    2 λ\lambdaλ-μ\muμ = 5
  2. B
    λ\lambdaλ - 2 μ\muμ = -5
  3. C
    2 λ\lambdaλ+μ\muμ = 14
  4. D
    λ\lambdaλ + 2 μ\muμ = 14
PreviousNext

More from Matrices and Determinants

  • Suppose the vectors x1, x2 and x3 are the solutions of the system of linear equations, Ax = b when the vector b on the right side is equal to b1, b2 and b3 respectively. if x1​=​111​​…2020 · MCQ
  • Let λ∈ R . The system of linear equations 2x1 - 4x2 +λ x3 = 1 x1 - 6x2 + x3 = 2 λ x1 - 10x2 + 4x3 = 3 is inconsistent for:2020 · MCQ
  • If the minimum and the maximum values of the function f:[4π​,2π​]→R, defined by f(θ)=​−sin2θ−cos2θ12​−1−sin2θ−1−cos2θ10​11−2​​…2020 · MCQ
  • If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then ​xyz​a+yb+yc+y​x+ay+bz+c​​…2020 · MCQ
  • If the system of linear equations x + y + 3z = 0 x + 3y + k2z = 0 3x + y + 3z = 0 has a non-zero solution (x, y, z) for some k ∈ R, then x + (zy​) is equal to :2020 · MCQ
  • The values of λ and μ for which the system of linear equations x + y + z = 2 x + 2y + 3z = 5 x + 3y +λ z = μ has infinitely many solutions are, respectively:2020 · MCQ
  • Let m and M be respectively the minimum and maximum values of ​cos2x1+cos2xcos2x​1+sin2xsin2xsin2x​sin2xsin2x1+sin2x​​…2020 · MCQ
  • The sum of distinct values of λ for which the system of equations (λ−1)x+(3λ+1)y+2λz=0(λ−1)x+(4λ−2)y+(λ+3)z=02x+(3λ+1)y+3(λ−1)z=0…2020 · Numerical