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Determinants — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDeterminants1 Mark
MCQ
Find the value of $x$ if $\begin{bmatrix}3&\text{3}\\2&\text{x}^2\end{bmatrix}=\begin{bmatrix}5&3\\3&2\end{bmatrix}.$
  • ✓
    $\text{x}=1,-\frac{1}{3}$
  • B
    $\text{x}=-1,-\frac{1}{3}$
  • C
    $\text{x}=1,\frac{1}{3}$
  • D
    $\text{x}=-1,\frac{1}{3}$
✓

Answer

Correct option: A.
$\text{x}=1,-\frac{1}{3}$
Given that $\begin{bmatrix}3&\text{3}\\2&\text{x}^2\end{bmatrix}=\begin{bmatrix}5&3\\3&2\end{bmatrix}$
$\Rightarrow3\text{x}^2-2\text{x}=5(2)-3(3)$
$\Rightarrow 3\text{x}^2-2\text{x}=1$
solving for $x,$ we get
$\text{x}=1,-\frac{1}{3}$

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