New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2024 · 8 Apr · Shift 2 · Q37

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

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2024 · 8 Apr · Shift 2 · Q37

Matrices and Determinants question

2024 · 8 Apr · Shift 2 · Q37

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If

\alpha eq \mathrm{a}, \beta eq \mathrm{b}, \gamma eq \mathrm{c}

and

\left|\begin{array}{lll}\alpha & \mathrm{b} & \mathrm{c} \\ \mathrm{a} & \beta & \mathrm{c} \\ \mathrm{a} & \mathrm{b} & \gamma\end{array}\right|=0

, then

\frac{\mathrm{a}}{\alpha-\mathrm{a}}+\frac{\mathrm{b}}{\beta-\mathrm{b}}+\frac{\gamma}{\gamma-\mathrm{c}}

is equal to :

A
2
B
3
C
1
D
0

More from Matrices and Determinants

If the system of equations $x + 4 y - z = λ, 7 x + 9 y + μ z = - 3, 5 x + y + 2 z = - 1$ has infinitely many solutions, then $(2 μ + 3 λ)$ is equal to :2024 · MCQ
Let $λ, μ \in R$ . If the system of equations $3 x + 5 y + λ z = 3 7 x + 11 y - 9 z = 2 97 x + 155 y - 189 z = μ$ has infinitely many solutions, then $μ + 2 λ$ is equal to…2024 · MCQ
Let $A$ be a non-singular matrix of order 3. If $det (3 adj (2 adj ((det A) A))) = 3^{- 13} \cdot 2^{- 10}$ and $det (3 adj (2 A)) = 2^{m} \cdot 3^{n}$ …2024 · Numerical
Let $B = [1135]$ and $A$ be a $2 \times 2$ matrix such that $A B^{- 1} = A^{- 1}$ . If $B C B^{- 1} = A$ and $C^{4} + α C^{2} + β I = O$ , then $2 β - α$ is equal to2024 · MCQ
Consider the matrices : $A = [23 - 5 m], B = [20 m]$ and $X = [x y]$ . Let the set of all $m$ , for which…2024 · Numerical
Consider the matrix $f (x) = cos x sin x 0 - sin x cos x 0 001$ . Given below are two statements : Statement I : $f (- x)$ is the inverse of the matrix $f (x)$ …2024 · MCQ
Let $A = 211010101, B = [B_{1}, B_{2}, B_{3}]$ , where $B_{1}, B_{2}, B_{3}$ are column matrics, and $AB_{1} = 100, AB_{2} = 230, AB_{3} = 321$ …2024 · Numerical
The values of $α$ , for which $11 2 α + 3 \frac{3}{2} \frac{1}{3} 3 α + 1 α + \frac{3}{2} α + \frac{1}{3} 0 = 0$ , lie in the interval2024 · MCQ