New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2024 · 27 Jan · Shift 2 · Q48

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

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2024 · 27 Jan · Shift 2 · Q48

Matrices and Determinants question

2024 · 27 Jan · Shift 2 · Q48

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

The values of

\alpha

, for which

\left|\begin{array}{ccc}1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \frac{1}{3} & \alpha+\frac{1}{3} \\ 2 \alpha+3 & 3 \alpha+1 & 0\end{array}\right|=0

, lie in the interval

A
$(-2,1)$
B
$\left(-\frac{3}{2}, \frac{3}{2}\right)$
C
$(-3,0)$
D
$(0,3)$

More from Matrices and Determinants

Let $A$ be a $2 \times 2$ real matrix and $I$ be the identity matrix of order 2. If the roots of the equation $∣ A - x I ∣ = 0$ be $- 1$ and 3, then the sum of the diagonal elements of the matrix $A^{2}$ is2024 · Numerical
$Let A = 100 0 α β 0 β α and ∣2 A ∣^{3} = 2^{21} where α, β \in Z, Then a value of α is$ …2024 · MCQ
Let $A$ be a square matrix such that $AA^{T} = I$ . Then $\frac{1}{2} A [(A + A^{T})^{2} + (A - A^{T})^{2}]$ is equal to2024 · MCQ
Let $A = 2631232112$ and $P = 157201025$ . The sum of…2024 · MCQ
Let for any three distinct consecutive terms $a, b, c$ of an A.P, the lines $a x + b y + c = 0$ be concurrent at the point $P$ and $Q (α, β)$ be a point such that the system of equations $x + y + z = 6, 2 x + 5 y + α z = β and$ …2024 · Numerical
Consider the system of linear equations $x + y + z = 4 μ, x + 2 y + 2 λ z = 10 μ, x + 3 y + 4 λ^{2} z = μ^{2} + 15$ where $λ, μ \in R$ . Which one of the following statements is NOT correct ?2024 · MCQ
Let $R = x 00 0 y 0 00 z$ be a non-zero $3 \times 3$ matrix, where $x sin θ = y sin (θ + \frac{2 π}{3}) = z sin (θ + \frac{4 π}{3}) e q 0, θ \in (0, 2 π)$ …2024 · MCQ
Consider the system of linear equations $x + y + z = 5, x + 2 y + λ^{2} z = 9, x + 3 y + λ z = μ$ , where $λ, μ \in R$ . Then, which of the following statement is NOT correct?2024 · MCQ