New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Complex Numbers question

2019 · 9 Apr · Shift 2 · Q24

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

PYQ Library
JEE Main
Mathematics
Complex Numbers
2019 · 9 Apr · Shift 2 · Q24

Complex Numbers question

2019 · 9 Apr · Shift 2 · Q24

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let z

\in

C be such that |z| < 1. If

\omega = {{5 + 3z} \over {5(1 - z)}}

z, then :

A
4Im( $\omega$ ) > 5
B
5Im( $\omega$ ) < 1
C
5Re( $\omega$ ) > 4
D
5Re( $\omega$ ) > 1

More from Complex Numbers

Let A = ${θ \in (- \frac{π}{2}, π) : \frac{3 + 2 i s i n θ}{1 - 2 i s i n θ} i s p u r e l y ima g ina r y}$ . Then the sum of the elements in A is :2019 · MCQ
Let $α$ and $β$ be two roots of the equation x2 + 2x + 2 = 0 , then $α^{15}$ + $β^{15}$ is equal to :2019 · MCQ
Let z0 be a root of the quadratic equation, x2 + x + 1 = 0, If z = 3 + 6iz $_{0}^{81} -$ 3iz $_{0}^{93}$ , then arg z is equal to :2019 · MCQ
If a > 0 and z = $\frac{( 1 + i ) ^{2}}{a - i}$ , has magnitude $\frac{2}{5}$ , then $\overline{z}$ is equal to :2019 · MCQ
If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = $\frac{π}{2}$ , then :2019 · MCQ
Let z1 and z2 be any two non-zero complex numbers such that $3 ∣ z_{1} ∣ = 4 ∣ z_{2} ∣ .$ If $z = \frac{3 z _{1}}{2 z _{2}} + \frac{2 z _{2}}{3 z _{1}}$ then :2019 · MCQ
Let $z = (\frac{3}{2} + \frac{i}{2})^{5} + (\frac{3}{2} - \frac{i}{2})^{5} .$ If R(z) and 1(z) respectively denote the real and imaginary parts of z, then :2019 · MCQ
Let $(- 2 - \frac{1}{3} i)^{3} = \frac{x + i y}{27} (i = - 1),$ where x and y are real numbers, then y $-$ x equals :2019 · MCQ