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JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 17 March 2021, Shift 1, Maths Q62

Question 62 of 90 in this shift, Maths question 2 of 30, Section A.

The area of the triangle with vertices A(

z

), B(

iz

) and C(

z+iz

) is :

(1) $\frac{1}{2}|z+iz|^{2}$
(2) $\frac{1}{2}|z|^{2}$ Official answer
(3) $\frac{1}{2}$
(4) $1$

Official answer

Option 2

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

18 Mar 2021, Shift 2 · Q77Let 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…MediumSingle 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.