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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 18 March 2021, Shift 2, Maths Q77

Question 77 of 90 in this shift, Maths question 17 of 30, Section A.

Let a complex number be

w=1-\sqrt{3}\,i

. Let another complex number

z

be such that

|zw|=1

and

\arg(z)-\arg(w)=\frac{\pi}{2}

. Then the area of the triangle with vertices origin,

z

and

w

is equal to :

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

Official answer

Option 1

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Complex Numbers - Polar Form
Idea tested: Area of Rotated Complex Triangles

Same idea in other shifts

Asked 2× in all

17 Mar 2021, Shift 1 · Q62The area of the triangle with vertices A( $z$ ), B( $iz$ ) and C( $z+iz$ ) is :EasySingle 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.