Exams
Subjects
Classes
Home
Exams
Mathematics
Matrices and Determinants
if begin bmatrix x y 2 1 ...
Question:
medium
If \[ \begin{bmatrix} x+y & 2 1 & x-y \end{bmatrix} = \begin{bmatrix} 4 & 2 1 & 2 \end{bmatrix}, \] then the values of \(x\) and \(y\) are:
Show Hint
When two matrices are equal, compare corresponding entries to form equations.
AP ECET Ceramic Tech - 2026
AP ECET Ceramic Tech
Updated On:
May 7, 2026
\(x=3,\ y=1\)
\(x=1,\ y=3\)
\(x=2,\ y=3\)
\(x=1,\ y=1\)
Show Solution
The Correct Option is
A
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Matrices and Determinants
If \[ A = \begin{pmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{pmatrix} \] and \(\theta = \frac{2\pi}{7}\), then \(A^{100} = A \times A \times \ldots\) (100 times) is equal to:
WBJEE - 2024
Mathematics
Matrices and Determinants
View Solution
If
\[ \begin{vmatrix} x^k & x^{k+2} & x^{k+3} \\ y^k & y^{k+2} & y^{k+3} \\ z^k & z^{k+2} & z^{k+3} \end{vmatrix} = (x - y)(y - z)(z - x)\left( \frac{1}{x} + \frac{1}{y} + \frac{1}{z} \right), \]
then the value of \(k\) is:
WBJEE - 2024
Mathematics
Matrices and Determinants
View Solution
If
\[ \begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix} \cdot A \cdot \begin{pmatrix} -3 & 2 \\ 5 & -3 \end{pmatrix} = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}, \]
then \(A\) is:
WBJEE - 2024
Mathematics
Matrices and Determinants
View Solution
Let
\[ A = \begin{bmatrix} 1 & -1 & 0 \\ 0 & 1 & -1 \\ 1 & 1 & 1 \end{bmatrix}, \quad B = \begin{bmatrix} 2 \\ 1 \\ 7 \end{bmatrix}. \]
For the validity of the result \(AX = B\), \(X\) is:
WBJEE - 2024
Mathematics
Matrices and Determinants
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in AP ECET Ceramic Tech exam
If \[ \frac{2x+5}{(x-1)(x+3)} = \frac{A}{x-1} + \frac{B}{x+3}, \] then \[ A+B = \; ? \]
AP ECET Ceramic Tech - 2025
Calculus
View Solution
If \[ \frac{3x-1}{(x-1)(x-2)(x-3)} = \frac{A}{x-1} + \frac{B}{x-2} + \frac{C}{x-3}, \] then the values of \((A,B,C)\) are
AP ECET Ceramic Tech - 2025
Calculus
View Solution
If \(\sin\theta=\frac{3}{5}\), then \(\cos\theta=\)
AP ECET Ceramic Tech - 2025
Trigonometry
View Solution
If \(\cos\theta\cosec\theta=-1\) and \(\theta\) lies in the second quadrant, then \(\cos\theta=\)
AP ECET Ceramic Tech - 2025
Trigonometry
View Solution
If \(5\sin\theta=4\), then the value of \(\frac{\cosec\theta-\cot\theta}{\cosec\theta+\cot\theta}\) is
AP ECET Ceramic Tech - 2025
Trigonometry
View Solution