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 · 9 Jan · Shift 2 · Q36
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 · 9 Jan · Shift 2 · Q36

Matrices and Determinants question

2020 · 9 Jan · Shift 2 · Q36

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
The following system of linear equations 7x + 6y – 2z = 0 3x + 4y + 2z = 0 x – 2y – 6z = 0, has
  1. A
    no solution
  2. B
    infinitely many solutions, (x, y, z) satisfying y = 2z
  3. C
    infinitely many solutions, (x, y, z) satisfying x = 2z
  4. D
    only the trivial solution
PreviousNext

More from Matrices and Determinants

  • Let A=(cosαsinα​−sinαcosα​), (α∈ R) such that A32=(01​−10​)…2019 · MCQ
  • The greatest value of c ∈ R for which the system of linear equations x – cy – cz = 0 cx – y + cz = 0 cx + cy – z = 0 has a non-trivial solution, is :2019 · MCQ
  • Let the number 2,b,c be in an A.P. and A = ​124​1bb2​1cc2​​. If det(A) ∈ [2, 16], then c lies in the interval :2019 · MCQ
  • If [10​11​][10​21​][10​31​].... [10​n−11​]=[10​781​]…2019 · MCQ
  • Let α and β be the roots of the equation x2 + x + 1 = 0. Then for y e 0 in R, ​y+1αβ​αy+β1​β1y+α​​…2019 · MCQ
  • The total number of matrices A=​02x2x​2yy−y​1−11​​(x, y ∈ R,x e y) for which ATA = 3I3 is :-2019 · MCQ
  • If the system of equations 2x + 3y – z = 0, x + ky – 2z = 0 and 2x – y + z = 0 has a non-trival solution (x, y, z), then yx​+zy​+xz​+k is equal to :-2019 · MCQ
  • If A=[cosθsinθ​−sinθcosθ​], then the matrix A–50 when θ=12π​, is equal to :2019 · MCQ