jee-main 2023 Q62

jee-main · India · session1_31jan_shift1 Complex Numbers Arithmetic Geometric Interpretation and Triangle/Shape Properties

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 $C_2$. Then
(1) the curves $C_1$ and $C_2$ intersect at 4 points
(2) the curves $C_1$ lies inside $C_2$
(3) the curves $C_1$ and $C_2$ intersect at 2 points
(4) the curves $C_2$ lies inside $C_1$

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 $C_2$. Then\\
(1) the curves $C_1$ and $C_2$ intersect at 4 points\\
(2) the curves $C_1$ lies inside $C_2$\\
(3) the curves $C_1$ and $C_2$ intersect at 2 points\\
(4) the curves $C_2$ lies inside $C_1$

Paper Questions

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