JEE Main 2024 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 5 April 2024, Shift 2, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A.

Let

S_1 = \{z \in C : |z| \leq 5\}

S_2 = \left\{z \in C : \mathrm{Im}\left(\frac{z+1-\sqrt{3}i}{1-\sqrt{3}i}\right) \geq 0\right\}

and

S_3 = \{z \in C : \mathrm{Re}(z) \geq 0\}

. Then the area of the region

S_1 \cap S_2 \cap S_3

is :

(1) $\frac{125\pi}{24}$
(2) $\frac{125\pi}{4}$
(3) $\frac{125\pi}{6}$
(4) $\frac{125\pi}{12}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Complex Numbers - Polar Form
Idea tested: Locus of Argument (Ray)

Same topic in other shifts

All Complex Numbers - Polar Form questions

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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.