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

Complex Numbers and Quadratic Equations: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Evening shift · Q3164

JEE Main 20236 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

a \neq b

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

X=\left\{z \in \mathbb{C}: \operatorname{Re}\left(a z^{2}+b z\right)=a\right.

and

\left.\operatorname{Re}\left(b z^{2}+a z\right)=b\right\}

is equal to :

JEE Main 2023 · 6 Apr, Evening shift · Q3164

JEE Main 20236 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

a \neq b

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

X=\left\{z \in \mathbb{C}: \operatorname{Re}\left(a z^{2}+b z\right)=a\right.

and

\left.\operatorname{Re}\left(b z^{2}+a z\right)=b\right\}

is equal to :