/

Learn

Saturday, 31 October

/

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 10 April 2023, Shift 1, Maths Q2

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

Let the complex number

z=x+iy

be such that

\frac{2z-3i}{2z+i}

is purely imaginary. If

x+y^2=0

, then

y^4+y^2-y

is equal to:

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

Official answer

Option 3

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.