Evaluate | cc x & x+1 x-1 & x | - Vidyadip

MCQ

Evaluate $\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|$

A
$0$
✓
$1$
C
$2$
D
$3$

✓

Answer

Correct option: B.

$1$

b
We have

$\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|=x(x)-(x+1)(x-1)=x^{2}-\left(x^{2}-1\right)=x^{2}-x^{2}+1=1$

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