If $\begin{vmatrix}2&3-x\\x&1\en

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If $\begin{vmatrix}2&3-x\\x&1\end{vmatrix}=0$, then the values of $x$ are:

Options:

1 and 3

1 and 2

2 and 3

3 and 0

Correct Answer:

1 and 2

Explanation:

$\begin{vmatrix}2&3-x\\x&1\end{vmatrix}=0$

$⇒2×1-(3-x)(x)$

$⇒2-3x+x^2=0$

$⇒x^2-3x+2=0⇒x^2-2x-x+2=0$

$⇒x(x-2)-1(x-2)=0⇒(x-1)(x-2)=0$

$⇒x=1,2$