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

2022 · 26 Jun · Shift 2 · Q26
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Matrices and Determinants
  5. /2022 · 26 Jun · Shift 2 · Q26

Matrices and Determinants question

2022 · 26 Jun · Shift 2 · Q26

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If the system of equations α\alphaα x + y + z = 5, x + 2y + 3z = 4, x + 3y + 5z = β\betaβ has infinitely many solutions, then the ordered pair (α\alphaα, β\betaβ) is equal to :
  1. A
    (1, −-− 3)
  2. B
    (−-− 1, 3)
  3. C
    (1, 3)
  4. D
    (−-− 1, −-− 3)
PreviousNext

More from Matrices and Determinants

  • Let X=​000​100​010​​,Y=αI+βX+γX2 and $$Z = {\alpha ^2}I - \alpha \beta X + ({\beta ^2} - \alpha \gamma…2022 · Numerical
  • Let A=(1−2​2−5​). Let α,β∈R be such that αA2+βA=2I. Then α+β is equal to2022 · MCQ
  • Let S be the set containing all 3×3 matrices with entries from {−1,0,1}. The total number of matrices A∈S such that the sum of all the diagonal elements of ATA is 6 is ​.2022 · Numerical
  • Let the system of linear equations x+2y+z=2, αx+3y−z=α, −αx+y+2z=−α be inconsistent. Then α is equal to :2022 · MCQ
  • Let A=[12​−1α​] and B=[β1​10​],α,β∈R. Let α1​ be the value of α which…2022 · Numerical
  • Let A and B be any two 3×3 symmetric and skew symmetric matrices respectively. Then which of the following is NOT true?2022 · MCQ
  • If the system of linear equations 2x+3y−z=−2x+y+z=4x−y+∣λ∣z=4λ−4 where, λ∈ R, has no solution, then2022 · MCQ
  • If the system of linear equations 2x−3y=γ+5, αx+5y=β+1, where α, β, γ∈ R has infinitely many solutions then the value of | 9 α + 3 β + 5 γ | is equal to ​…2022 · Numerical