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Complex Numbers question

2023 · 31 Jan · Shift 1 · Q37

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2023 · 31 Jan · Shift 1 · Q37

Complex Numbers question

2023 · 31 Jan · Shift 1 · Q37

JEE MainMathematicsComplex NumbersMCQ+4 / −1

For all

z \in C

on the curve

C_{1}:|z|=4

, let the locus of the point

z+\frac{1}{z}

be the curve

\mathrm{C}_{2}

. Then :

A
the curves $C_{1}$ and $C_{2}$ intersect at 4 points
B
the curve $C_{2}$ lies inside $C_{1}$
C
the curve $C_{1}$ lies inside $C_{2}$
D
the curves $C_{1}$ and $C_{2}$ intersect at 2 points

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