For all z ∈ ℂ on the curve C₁: |z| = 4, let the locus of the poin… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 31 January, Shift 1Argand Plane & Geometry

For all $z \in \mathbb{C}$ on the curve $C_1 : |z| = 4$ , let the locus of the point $z + \frac{1}{z}$ be the curve $C_2$ . Then:

A
the curves $C_1$ and $C_2$ intersect at $4$ points
B
the curves $C_1$ lies inside $C_2$
C
the curves $C_1$ and $C_2$ intersect at $2$ points
D
the curves $C_2$ lies inside $C_1$

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