If A= 5 & x y & 6 B= -4 & y -4 & 5 and A+B=1 then… - Vidyadip

MCQ

If $\text{A}=\displaystyle \begin{vmatrix} 5 &\text{amp; x} \\ \text{y} &\text{amp; 6} \end{vmatrix}\text{B}=\displaystyle \begin{vmatrix} -4 &\text{amp; y} \\-4 &\text{amp; 5} \end{vmatrix}$ and $\text{A}+\text{B}=1$ then the values of $x$ and $y$ respectively are :

✓
$-4, 4$
B
$-4, -4$
C
$4, 4$
D
$4, -4$

✓

Answer

Correct option: A.

$-4, 4$

$\text{A+B =1},\text{ i.e.,} \displaystyle \begin{vmatrix} 1&\text{amp; }\text{x+y} \\\text{y}-4 &\text{amp;} 1 \end{vmatrix}=\begin{vmatrix} 1&\text{amp; } 0 \\ 0 &\text{amp; } 1 \end{vmatrix}$
or $\text{x}=\text{y}=0,\text{ y}-4=0$
$\therefore\text{ x} = -4, \text{ y}=4$

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