JEE Main 2019 Mathematics question

Mathematics Complex Numbers JEE Main 2019

Let z ∈ C with Im(z) = 10 and it satisfies for some natural number n. Then:

(A)n = 20 and Re(z) = −10
(B)n = 40 and Re(z) = 10
(C)n = 40 and Re(z) = −10Correct
(D)n = 20 and Re(z) = 10

Answer: (C)

Solution

Solving gives ⇒ n = 40, Re(z) = −10.

Question ID VK-010822