Evaluate the following determinant: | cc x & -5 x 1 & x+10 | - Vidyadip

MCQ

Evaluate the following determinant:
$
\left|\begin{array}{cc}
x & -5 x \\
1 & x+10
\end{array}\right|
$

A
$5 x^2+4$
✓
$x(x+15)$
C
$x(x-15)$
D
$x(15-x)$

✓

Answer

Correct option: B.

$x(x+15)$

(b): We have, $\left|\begin{array}{cc}x & -5 x \\ 1 & x+10\end{array}\right|=x(x+10)+5 x$ $=x^2+10 x+5 x=x^2+15 x=x(x+15)$

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