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

2021 · 26 Feb · Shift 1 · Q32
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Matrices and Determinants
  5. /2021 · 26 Feb · Shift 1 · Q32

Matrices and Determinants question

2021 · 26 Feb · Shift 1 · Q32

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
The value of ∣(a+1)(a+2)a+21(a+2)(a+3)a+31(a+3)(a+4)a+41∣\left| {\begin{matrix} {(a + 1)(a + 2)} & {a + 2} & 1 \\ {(a + 2)(a + 3)} & {a + 3} & 1 \\ {(a + 3)(a + 4)} & {a + 4} & 1 \\ \end{matrix} } \right|​(a+1)(a+2)(a+2)(a+3)(a+3)(a+4)​a+2a+3a+4​111​​ is :
  1. A
    −-− 2
  2. B
    0
  3. C
    (a + 2)(a + 3)(a + 4)
  4. D
    (a + 1)(a + 2)(a + 3)
PreviousNext

More from Matrices and Determinants

  • Consider the following system of equations : x + 2y − 3z = a 2x + 6y − 11z = b x − 2y + 7z = c, where a, b and c are real constants. Then the system of equations :2021 · MCQ
  • If the matrix A=​103​020​00−1​​ satisfies the equation A20+αA19+βA=​100​040​001​​…2021 · Numerical
  • If the matrix A=(0K​2−1​) satisfies A(A3+3I)=2I, then the value of K is :2021 · MCQ
  • If the system of linear equations 2x + y − z = 3 x − y − z =α 3x + 3y +β z = 3 has infinitely many solution, then α+β−αβ is equal to ​.2021 · Numerical
  • Let A=​[x+1][x][x]​[x+2][x+3][x+2]​[x+3][x+3][x+4]​​, where [t] denotes the greatest integer less than or…2021 · MCQ
  • Let [λ] be the greatest integer less than or equal to λ. The set of all values of λ for which the system of linear equations x + y + z = 4, 3x + 2y + 5z = 3, 9x + 4y + (28 + [λ])z = [λ] has a…2021 · MCQ
  • Let A=[1−1​24​]. If A − 1 = α I + β A, α, β∈ R, I is a 2 × 2 identity matrix then 4(α−β) is equal to :2021 · MCQ
  • For real numbers α and β, consider the following system of linear equations : x + y − z = 2, x + 2y +α z = 1, 2x − y + z =β. If the system has infinite solutions, then α+β is equal to ​…2021 · Numerical