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Saturday, 31 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 10 April 2023, Shift 2, Maths Q3

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

Let S={z=x+iy:2z−3i4z+2i is a real number}S = \left\{z = x + iy : \frac{2z - 3i}{4z + 2i} \text{ is a real number}\right\}. Then which of the following is NOT correct?
  1. (1)x=0x = 0
  2. (2)y∈(−∞,−12)∪(−12,∞)y \in \left(-\infty, -\frac{1}{2}\right) \cup \left(-\frac{1}{2}, \infty\right)
  3. (3)y+x2+y2≠−14y + x^2 + y^2 \neq -\frac{1}{4}
  4. (4)(x,y)=(0,−12)(x, y) = \left(0, -\frac{1}{2}\right)Official answer

Official answer

Option 4

NTA final key.

Chapter
Complex Numbers and Quadratic Equations
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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.