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

2024 · 8 Apr · Shift 2 · Q39
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Matrices and Determinants
  5. /2024 · 8 Apr · Shift 2 · Q39

Matrices and Determinants question

2024 · 8 Apr · Shift 2 · Q39

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If the system of equations x+4y−z=λ,7x+9y+μz=−3,5x+y+2z=−1x+4 y-z=\lambda, 7 x+9 y+\mu z=-3,5 x+y+2 z=-1x+4y−z=λ,7x+9y+μz=−3,5x+y+2z=−1 has infinitely many solutions, then (2μ+3λ)(2 \mu+3 \lambda)(2μ+3λ) is equal to :
  1. A
    −2-2−2
  2. B
    2
  3. C
    3
  4. D
    −3-3−3
PreviousNext

More from Matrices and Determinants

  • Let λ,μ∈R. If the system of equations ​3x+5y+λz=37x+11y−9z=297x+155y−189z=μ​ has infinitely many solutions, then μ+2λ is equal to…2024 · MCQ
  • Let A be a non-singular matrix of order 3. If det(3adj(2adj((detA)A)))=3−13⋅2−10 and det(3adj(2A))=2m⋅3n…2024 · Numerical
  • Let B=[11​35​] and A be a 2×2 matrix such that AB−1=A−1. If BCB−1=A and C4+αC2+βI=O, then 2β−α is equal to2024 · MCQ
  • Consider the matrices : A=[23​−5m​],B=[20m​] and X=[xy​]. Let the set of all m, for which…2024 · Numerical
  • Consider the matrix f(x)=​cosxsinx0​−sinxcosx0​001​​. Given below are two statements : Statement I : f(−x) is the inverse of the matrix f(x)…2024 · MCQ
  • Let A=​211​010​101​​,B=[B1​,B2​,B3​], where B1​,B2​,B3​ are column matrics, and AB1​=​100​​,AB2​=​230​​,AB3​=​321​​…2024 · Numerical
  • The values of α, for which ​112α+3​23​31​3α+1​α+23​α+31​0​​=0, lie in the interval2024 · MCQ
  • Let A be a 2×2 real matrix and I be the identity matrix of order 2. If the roots of the equation ∣A−xI∣=0 be −1 and 3, then the sum of the diagonal elements of the matrix A2 is2024 · Numerical