Question
If $A =\left[\begin{array}{cc}\frac{1}{3} & 2 \\ 0 & 2 x-3\end{array}\right], B =\left[\begin{array}{cc}3 & 6 \\ 0 & -1\end{array}\right]$ and $AB = I$, then $x=$  __________ .

Answer

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Based on the above information, answer the following questions
  1. Equation of line AB is.
    1. $\text{y}=\frac{3}{2}(\text{x}+1)$
    2. $\text{y}=\frac{3}{2}(\text{x}-1)$
    3. $\text{y}=\frac{1}{2}(\text{x}+1)$
    4. $\text{y}=\frac{1}{2}(\text{x}-1)$
  2. Equation of line BC is.
    1. $\text{y}=\frac{1}{2}\text{x}-\frac{7}{2}$
    2. $\text{y}=\frac{3}{2}\text{x}-\frac{7}{2}$
    3. $\text{y}=\frac{-1}{2}\text{x}+\frac{7}{2}$
    4. $\text{y}=\frac{3}{2}\text{x}+\frac{7}{2}$
  3. Area of region ABCD is.
  1. 2 sq. units
  2. 4 sq. units
  3. 6 sq. units
  4. 8 sq. units
  1. Area of $\triangle\text{ADC}$ is,
  1. 4 sq. units
  2. 8 sq. units
  3. 16 sq. units
  4. 32 sq. units
  1. Area of $\triangle\text{ABC}$ is.
  1. 3 sq. units
  2. 4 sq. units
  3. 5 sq. units
  4. 6 sq. units
Fill in the blanks:
The least value of the function $\text{f(x)}=\text{ax}+\frac{\text{b}}{\text{a}}(\text{a}>0,\text{b}>0,\text{x}>0)$ is ______.