New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Complex Numbers question

2022 · 27 Jun · Shift 1 · Q20

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

PYQ Library
JEE Main
Mathematics
Complex Numbers
2022 · 27 Jun · Shift 1 · Q20

Complex Numbers question

2022 · 27 Jun · Shift 1 · Q20

JEE MainMathematicsComplex NumbersMCQ+4 / −1

The area of the polygon, whose vertices are the non-real roots of the equation

\overline z = i{z^2}

is :

A
${{3\sqrt 3 } \over 4}$
B
${{3\sqrt 3 } \over 2}$
C
${3 \over 2}$
D
${3 \over 4}$

More from Complex Numbers

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
If $z = 2 + 3 i$ , then $z^{5} + (\overset{z}{ˉ})^{5}$ is equal to :2022 · MCQ
If $z e q 0$ be a complex number such that $z - \frac{1}{z} = 2$ , then the maximum value of $∣ z ∣$ is :2022 · MCQ
Let $S = {z = x + i y : ∣ z - 1 + i ∣ \geq ∣ z ∣, ∣ z ∣ < 2, ∣ z + i ∣ = ∣ z - 1∣}$ . Then the set of all values of $x$ , for which $w = 2 x + i y \in S$ for some $y \in R$ , is :2022 · MCQ