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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 September 2020, Shift 1, Maths Q52

Question 52 of 75 in this shift, Maths question 2 of 25.

If the four complex numbers

z

,

\overline{z}

,

\overline{z}-2\mathrm{Re}(\overline{z})

and

z-2\mathrm{Re}(z)

represent the vertices of a square of side 4 units in the Argand plane, then

|z|

is equal to :

(1) $4\sqrt{2}$
(2) $2$
(3) $2\sqrt{2}$ Official answer
(4) $4$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Complex Numbers and Quadratic Equations
Topic: Complex Numbers - Polar Form
Idea tested: Geometric Rotation

Same idea in other shifts

Asked 2× in all

25 Jun 2022, Shift 1 · Q20Let a circle C in complex plane pass through the points $z_1=3+4i$ , $z_2=4+3i$ and $z_3=5i$ . If $z(\neq z_1)$ is a point on C such that…HardSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.