New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2023 · 11 Apr · Shift 2 · Q30

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2023 · 11 Apr · Shift 2 · Q30

Matrices and Determinants question

2023 · 11 Apr · Shift 2 · Q30

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

\left|\begin{array}{ccc}x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^{2}\end{array}\right|=\frac{9}{8}(103 x+81)

, then

\lambda, \frac{\lambda}{3}

are the roots of the equation :

A
$4 x^{2}+24 x-27=0$
B
$4 x^{2}-24 x+27=0$
C
$4 x^{2}-24 x-27=0$
D
$4 x^{2}+24 x+27=0$

More from Matrices and Determinants

Let $A = [10 \frac{1}{51} 1]$ . If $B = [1 - 1 2 - 1] A [- 1 1 - 2 1]$ ,…2023 · MCQ
Let $D_{k} = 1 n n 2 k n^{2} + n + 2 n^{2} + n 2 k - 1 n^{2} n^{2} + n + 2$ . If $\sum_{k = 1}^{n} D_{k} = 96$ , then $n$ is equal to …2023 · Numerical
For the system of linear equations $2 x + 4 y + 2 a z = b x + 2 y + 3 z = 42 x - 5 y + 2 z = 8$ which of the following is NOT correct?2023 · MCQ
Let $B = 11 α 32 α α 34, α > 2$ be the adjoint of a matrix $A$ and $∣ A ∣ = 2$ . Then $[α - 2 α α] B α - 2 α α$ …2023 · MCQ
The number of symmetric matrices of order 3, with all the entries from the set ${0, 1, 2, 3, 4, 5, 6, 7, 8, 9}$ is :2023 · MCQ
If the system of equations $2 x + y - z = 52 x - 5 y + λ z = μx + 2 y - 5 z = 7$ has infinitely many solutions, then $(λ + μ)^{2} + (λ - μ)^{2}$ is equal to2023 · MCQ
If A and B are two non-zero n $\times$ n matrices such that $A^{2} + B = A^{2} B$ , then :2023 · MCQ
If the system of equations $x + 2 y + 3 z = 34 x + 3 y - 4 z = 48 x + 4 y - λ z = 9 + μ$ has infinitely many solutions, then the ordered pair ( $λ, μ$ ) is equal to :2023 · MCQ