JEE Main 2023 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 6 April 2023, Shift 2, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A. NTA dropped this question from the final key; it is left out of every count on this site.

Let

a\neq b

be two non-zero real numbers. Then the number of elements in the set

X=\{z\in\mathbb{C}:\mathrm{Re}\left(az^2+bz\right)=a

and

\mathrm{Re}\left(bz^2+az\right)=b\}

is equal to

(1) $0$
(2) $1$
(3) $2$
(4) $3$

Official answer

Dropped by NTA (marks given to all)

NTA final key: NTA final key: DROP (question dropped).

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