New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2023 · 13 Apr · Shift 1 · Q26

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

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2023 · 13 Apr · Shift 1 · Q26

Matrices and Determinants question

2023 · 13 Apr · Shift 1 · Q26

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

For the system of linear equations

2 x+4 y+2 a z=bx+2 y+3 z=42 x-5 y+2 z=8

which of the following is NOT correct?

A
It has infinitely many solutions if $a=3, b=8$
B
It has infinitely many solutions if $a=3, b=6$
C
It has unique solution if $a=b=8$
D
It has unique solution if $a=b=6$

More from Matrices and Determinants

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
Let S $_{1}$ and S $_{2}$ be respectively the sets of all $a \in R - {0}$ for which the system of linear equations $a x + 2 a y - 3 a z = 1 (2 a + 1) x + (2 a + 3) y + (a + 1) z = 2 (3 a + 5) x + (a + 5) y + (a + 2) z = 3$ has unique solution and…2023 · MCQ
Let $A_{1}, A_{2}, A_{3}$ be the three A.P. with the same common difference d and having their first terms as $A, A + 1, A + 2$ , respectively. Let a, b, c be the $7^{th}, 9^{th}, 1 7^{th}$ terms of $A_{1}, A_{2}, A_{3}$ ,…2023 · Numerical
Let A, B, C be 3 $\times$ 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements (S1) A $^{13}$ B $^{26} -$ B $^{26}$ A $^{13}$ is symmetric (S2) A $^{26}$ C $^{13} -$ C $^{13}$ A $^{26}$ is symmetric…2023 · MCQ