New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Complex Numbers question

2022 · 27 Jul · Shift 1 · Q26

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Complex Numbers
2022 · 27 Jul · Shift 1 · Q26

Complex Numbers question

2022 · 27 Jul · Shift 1 · Q26

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let the minimum value

v_{0}

of

v=|z|^{2}+|z-3|^{2}+|z-6 i|^{2}, z \in \mathbb{C}

is attained at

{ }{z}=z_{0}

. Then

\left|2 z_{0}^{2}-\bar{z}_{0}^{3}+3\right|^{2}+v_{0}^{2}

is equal to :

A
1000
B
1024
C
1105
D
1196

More from Complex Numbers

Let $S = {z \in C : z^{2} + \overset{z}{ˉ} = 0}$ . Then $z \in S \sum (Re (z) + Im (z))$ is equal to .2022 · Numerical
Let S be the set of all $(α, β), π < α, β < 2 π$ , for which the complex number $\frac{1 - i s i n α}{1 + 2 i s i n α}$ is purely imaginary and $\frac{1 + i c o s β}{1 - 2 i c o s β}$ is purely real. Let $Z_{α β} = sin 2 α + i cos 2 β, (α, β) \in S$ …2022 · MCQ
The area of the polygon, whose vertices are the non-real roots of the equation $\overline{z} = i z^{2}$ is :2022 · MCQ
The number of points of intersection of $∣ z - (4 + 3 i) ∣ = 2$ and $∣ z ∣ + ∣ z - 4∣ = 6$ , z $\in$ C, is :2022 · MCQ
Let $S_{1} = {z_{1} \in C : ∣ z_{1} - 3 ∣ = \frac{1}{2}}$ and $S_{2} = {z_{2} \in C : ∣ z_{2} - ∣ z_{2} + 1∣∣ = ∣ z_{2} + ∣ z_{2} - 1∣∣}$ . Then, for $z_{1} \in S_{1}$ and $z_{2} \in S_{2}$ …2022 · MCQ
Let $z = a + ib, b e q 0$ be complex numbers satisfying $z^{2} = \overset{z}{ˉ} \cdot 2^{1 - z}$ . Then the least value of $n \in N$ , such that $z^{n} = (z + 1)^{n}$ , is equal to .2022 · Numerical
The number of elements in the set {z = a + ib $\in$ C : a, b $\in$ Z and 1 < | z $-$ 3 + 2i | < 4} is .2022 · Numerical
Sum of squares of modulus of all the complex numbers z satisfying $\overline{z} = i z^{2} + z^{2} - z$ is equal to .2022 · Numerical