Let z = (dfrac√(3)2 + i/2 )^5 + (dfrac√(3)2 - i/2 )^5. If R(z) and I(z) respectively denote the real and imaginary parts of z, then

Let z = (dfrac√(3)2 + i/2 )^5 + (dfrac√(3)2 - i/2 )^5. If… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 Jan · Shift II

Let

z = \left(\dfrac{\sqrt{3}}{2} + \dfrac{i}{2}\right)^5 + \left(\dfrac{\sqrt{3}}{2} - \dfrac{i}{2}\right)^5

. If

R(z)

and

I(z)

respectively denote the real and imaginary parts of

z

, then

Show answer

Correct option: B

[JEE Main 2019 · 10 Jan · Shift II]

Practise Complex Numbers and Quadratic Equations the way it is asked

A timed set of real JEE Main Complex Numbers and Quadratic Equations questions, graded as the exam grades. No sign-up.