MCQ
In an LPP, the objective function is always
- ANon-linear
- ✓Linear
- CQuadratic
- DCubic
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$\text{None of these}$
($A$) There exists a function $f \in S$ such that $X_f=0$
($B$) For every function $f \in S$, we have $X_f \leq 2$
($C$) There exists a function $f \in S$ such that $X_f=2$
($D$) There does $NOT$ exist any function $f$ in $\mathrm{S}$ such that $\mathrm{X}_f=1$
If
$\vec{\text{a}},\vec{\text{b}},\vec{\text{c}}$ are three vectors such that $\vec{\text{a}}+\vec{\text{b}}+\vec{\text{c}}=\vec{0}$ and $|\vec{\text{a}}|=2,|\vec{\text{b}}|=3$ and $|\vec{\text{c}}|=5,$ then the value of $\vec{\text{a}}\cdot\vec{\text{b}}+\vec{\text{b}}\cdot\vec{\text{c}}+\vec{\text{c}}\cdot\vec{\text{a}}$ is: