12. linear programming — ગણિત ધોરણ 12 સાયન્સ — Question
Gujarat Boardગુજરાતી માધ્યમધોરણ 12 સાયન્સગણિત12. linear programming1 Mark
MCQ
છાયાકિંત ભાગ શેનો આલેખ દર્શાવે છે
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.
$4 x-2 y \leq-3$
$4 x-2 y \leq-3$
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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