MCQ
The shaded region in the given figure is a graph of $.....$
- A$4 x-2 y \leq 3$
- ✓$4 x-2 y \leq-3$
- C$2 x-4 y \geq 3$
- D$2 x-4 y \leq-3$
✓
Answer
Correct option: B.
$4 x-2 y \leq-3$
b
The given line intersects $\mathrm{X}$ - axis at $\left(-\frac{3}{4}, 0\right)$ and $\mathrm{Y}$ - axis at $\left(0, \frac{3}{2}\right)$
The given line intersects $\mathrm{X}$ - axis at $\left(-\frac{3}{4}, 0\right)$ and $\mathrm{Y}$ - axis at $\left(0, \frac{3}{2}\right)$
$\therefore$ Equation of the line $\frac{x}{-\frac{3}{4}}+\frac{y}{\frac{3}{2}}=1$
$\therefore-4 x+2 y=3$
$\therefore 4 x-2 y=-3$
Taking $x=y=0 \Rightarrow 0-0 \leq-3$ which is not true.
$\therefore 4 x-2 y \leq-3$ is a half plane not containing $(0,0).$
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