Gujarat Boardગુજરાતી માધ્યમધોરણ 11 સાયન્સગણિત4.1 complex nubers1 Mark
MCQ
$|2z - 1| + |3z - 2|$ ની ન્યૂનતમ કિમત મેળવો.
A
$0$
B
$1/2$
✓
$1/3$
D
$2/3$
✓
Answer
Correct option: C.
$1/3$
(c) Given expression, $|2z - 1| + |3z - 2|$, minimum value of $|2z - 1|$is $0$ at $z = \frac{1}{2}$. So value of given expression $ = 0 + \frac{1}{2} = \frac{1}{2},$ minimum value of $|3z - 2|$ is $0$, at $z = \frac{2}{3}$. So value of given expression $ = \frac{1}{3} + 0 = \frac{1}{3}$.
So minimum value of given expression is $\frac{1}{3}$.
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