If x & 1 y & 2 - y & 1 8& 0 = 2 & 0 -x& 2… - Vidyadip

MCQ

If $\displaystyle \begin{vmatrix}\text{x} &\text{amp; } 1 \\ \text{y} &\text{amp; } 2 \end{vmatrix}-\displaystyle \begin{vmatrix}\text{y} &\text{amp; } 1 \\ 8&\text{amp; } 0\end{vmatrix}=\displaystyle \begin{vmatrix}2 &\text{amp; } 0 \\ \text{-x}&\text{amp; } 2\end{vmatrix}$ then the values of $x$ and $y$ respectively are :

A
$5$ and $1$
✓
$5$ and $3$
C
$5$ and $2$
D
$3$ and $4$

✓

Answer

Correct option: B.

$5$ and $3$

$x - y = 2$
$y - 8 = -x$
Solving we get $x = 5$ and $y = 3$

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