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 · 29 Jul · Shift 2 · Q25
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 · 29 Jul · Shift 2 · Q25

Matrices and Determinants question

2022 · 29 Jul · Shift 2 · Q25

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If the system of equations x+y+z=62x+5y+αz=βx+2y+3z=14\begin{aligned} &x+y+z=6 \\ &2 x+5 y+\alpha z=\beta \\ &x+2 y+3 z=14 \end{aligned}​x+y+z=62x+5y+αz=βx+2y+3z=14​ has infinitely many solutions, then α+β\alpha+\betaα+β is equal to
  1. A
    8
  2. B
    36
  3. C
    44
  4. D
    48
PreviousNext

More from Matrices and Determinants

  • Let X=​111​​ and A=​−100​210​36−1​​. For k∈N, if X′AkX=33, then k…2022 · Numerical
  • If the system of linear equations 2x + y − z = 7 x − 3y + 2z = 1 x + 4y +δ z = k, where δ, k ∈ R has infinitely many solutions, then δ + k is equal to:2022 · MCQ
  • Let A=[aij​] be a square matrix of order 3 such that aij​=2j−i, for all i, j = 1, 2, 3. Then, the matrix A2 + A3 + ...... + A10 is equal to :2022 · MCQ
  • Let M=[0α​−α0​], where α is a non-zero real number an N=k=1∑49​M2k. If (I−M2)N=−2I, then the positive…2022 · Numerical
  • Let A=[1α​−22​α−1​] and B=​2−14​α2−5​​,α∈C…2022 · MCQ
  • Consider the system of linear equations − x + y + 2z = 0 3x − ay + 5z = 1 2x − 2y − az = 7 Let S1 be the set of all a ∈ R for which the system is inconsistent and S2 be the set of all a ∈ R for which the system has…2021 · MCQ
  • Let A=[i−i​−ii​],i=−1​. Then, the system of linear equations A8[xy​]=[864​]…2021 · MCQ
  • The total number of 3 × 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diagonal entries of AAT is 9, is equal to ​.2021 · Numerical