Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

$\begin{bmatrix}1-x^2 & 2y\\x+5 & 0\end{bmatrix}=\begin{bmatrix} -3 & y-1\\7 & 0\end{bmatrix}$, then value of $(x-y)^2$ is :

Options:

9

4

1

16

Correct Answer:

9

Explanation:

The correct answer is Option (1) → 9

$1-x^2=-3,x+5=7$

$x^2=4$

$x=±2$

$∴x=2$

$y-1=2y$

$y=-1$

$∴(x-y)^2=(2-(1))^2=3^2=9$