jee-main 2023 Q61

jee-main · India · session2_06apr_shift2 Complex Numbers Argand & Loci Solving Complex Equations with Geometric Interpretation

Let $a \neq b$ be two non-zero real numbers. Then the number of elements in the set $X = \left\{ z \in C : \operatorname{Re}\left(az^{2} + bz\right) = a$ and $\operatorname{Re}\left(bz^{2} + az\right) = b\right\}$ is equal to
(1) 0
(2) 1
(3) 3
(4) 2

Let $a \neq b$ be two non-zero real numbers. Then the number of elements in the set $X = \left\{ z \in C : \operatorname{Re}\left(az^{2} + bz\right) = a$ and $\operatorname{Re}\left(bz^{2} + az\right) = b\right\}$ is equal to\\
(1) 0\\
(2) 1\\
(3) 3\\
(4) 2

Paper Questions

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