JEE Main 2023 · 6 April · evening · Single correct · +4 / −1

Let a ≠ b be two non-zero real numbers. Then the number of elements in the set X={z ∈ ℂ: Re(a z²+b z)=a and Re(b z²+a z)=b} is equal to :

  1. (a) 0
  2. (b) 2
  3. (c) 1
  4. (d) Infinite
Answer and solution

Answer (d) Infinite

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Asked about 160 times in JEE Main since 2020. This question is from 2023.