New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Complex Numbers question

2022 · 30 Jun · Shift 1 · Q24

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

PYQ Library
JEE Main
Mathematics
Complex Numbers
2022 · 30 Jun · Shift 1 · Q24

Complex Numbers question

2022 · 30 Jun · Shift 1 · Q24

JEE MainMathematicsComplex NumbersMCQ+4 / −1

The real part of the complex number

{{{{(1 + 2i)}^8}\,.\,{{(1 - 2i)}^2}} \over {(3 + 2i)\,.\,\overline {(4 - 6i)} }}

is equal to :

A
${{500} \over {13}}$
B
${{110} \over {13}}$
C
${{55} \over {6}}$
D
${{550} \over {13}}$

More from Complex Numbers

If for the complex numbers z satisfying | z $-$ 2 $-$ 2i | $\leq$ 1, the maximum value of | 3iz + 6 | is attained at a + ib, then a + b is equal to .2021 · Numerical
Let a complex number z, |z| $e$ 1, satisfy $lo g_{\frac{1}{2}} (\frac{∣ z ∣ + 11}{( ∣ z ∣ - 1 ) ^{2}}) \leq 2$ . Then, the largest value of |z| is equal to .2021 · MCQ
Let z and $ω$ be two complex numbers such that $ω = z \overline{z} - 2 z + 2, \frac{z + i}{z - 3 i} = 1$ and Re( $ω$ ) has minimum value. Then, the minimum value of n $\in$ N for which $ω$ n is real, is…2021 · Numerical
The least value of |z| where z is complex number which satisfies the inequality $exp (\frac{( ∣ z ∣ + 3 ) ( ∣ z ∣ - 1 )}{∣∣ z ∣ + 1∣} lo g_{e} 2) \geq lo g_{2} ∣5 7 + 9 i ∣, i = - 1$ , is equal to :2021 · MCQ
The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :2021 · MCQ
Let S1, S2 and S3 be three sets defined as S1 = {z $\in$ C : |z $-$ 1| $\leq 2$ } S2 = {z $\in$ C : Re((1 $-$ i)z) $\geq$ 1} S3 = {z $\in$ C : Im(z) $\leq$ 1} Then the set S1 $\cap$ S2 $\cap$ S3 :2021 · MCQ
If the equation $a ∣ z ∣^{2} + \overline{\overline{α} z + α \overline{z}} + d = 0$ represents a circle where a, d are real constants then which of the following condition is correct?2021 · MCQ
Let z1, z2 be the roots of the equation z2 + az + 12 = 0 and z1, z2 form an equilateral triangle with origin. Then, the value of |a| is :2021 · Numerical