New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Complex Numbers question

2021 · 27 Aug · Shift 2 · Q37

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

PYQ Library
JEE Main
Mathematics
Complex Numbers
2021 · 27 Aug · Shift 2 · Q37

Complex Numbers question

2021 · 27 Aug · Shift 2 · Q37

JEE MainMathematicsComplex NumbersNumerical+4 / −1

Let z1 and z2 be two complex numbers such that

\arg ({z_1} - {z_2}) = {\pi \over 4}

and z1, z2 satisfy the equation | z

-

3 | = Re(z). Then the imaginary part of z1 + z2 is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Complex Numbers

Let C be the set of all complex numbers. Let $S_{1} = {z \in C ∣∣ z - 3 - 2 i ∣^{2} = 8}$ $S_{2} = {z \in C ∣ Re o l imi t s (z) \geq 5}$ and $S_{3} = {z \in C ∣∣ z - \overline{z} ∣ \geq 8}$ . Then the number of elements in $S_{1} \cap S_{2} \cap S_{3}$ …2021 · MCQ
Let C be the set of all complex numbers. Let S1 = {z $\in$ C : |z $-$ 2| $\leq$ 1} and S2 = {z $\in$ C : z(1 + i) + $\overline{z}$ (1 $-$ i) $\geq$ 4}. Then, the maximum value of $z - \frac{5}{2}^{2}$ for z $\in$ S1 $\cap$ S2…2021 · MCQ
If the real part of the complex number $z = \frac{3 + 2 i c o s θ}{1 - 3 i c o s θ}, θ \in (0, \frac{π}{2})$ is zero, then the value of sin23 $θ$ + cos2 $θ$ is equal to .2021 · Numerical
A point z moves in the complex plane such that $ar g (\frac{z - 2}{z + 2}) = \frac{π}{4}$ , then the minimum value of $z - 92 - 2 i^{2}$ is equal to .2021 · Numerical
If z is a complex number such that $\frac{z - i}{z - 1}$ is purely imaginary, then the minimum value of | z $-$ (3 + 3i) | is :2021 · MCQ
The value of $(\frac{1 + s i n \frac{2 π}{9} + i c o s \frac{2 π}{9}}{1 + s i n \frac{2 π}{9} - i c o s \frac{2 π}{9}})^{3}$ is :2020 · MCQ
The imaginary part of $(3 + 2 - 54)^{\frac{1}{2}} - (3 - 2 - 54)^{\frac{1}{2}}$ can be :2020 · MCQ
If $(\frac{1 + i}{1 - i})^{\frac{m}{2}} = (\frac{1 + i}{1 - i})^{\frac{n}{3}} = 1$ , (m, n $\in$ N) then the greatest common divisor of the least values of m and n is .2020 · Numerical