jee-main 2024 Q61

jee-main · India · session2_04apr_shift2 Complex Numbers Argand & Loci Intersection of Loci and Simultaneous Geometric Conditions

The area (in sq. units) of the region $S = \{ z \in \mathbb { C } : | z - 1 | \leq 2 ; ( z + \bar { z } ) + i ( z - \bar { z } ) \leq 2 , \operatorname { Im } ( z ) \geq 0 \}$ is
(1) $\frac { 7 \pi } { 3 }$
(2) $\frac { 7 \pi } { 4 }$
(3) $\frac { 17 \pi } { 8 }$
(4) $\frac { 3 \pi } { 2 }$

The area (in sq. units) of the region $S = \{ z \in \mathbb { C } : | z - 1 | \leq 2 ; ( z + \bar { z } ) + i ( z - \bar { z } ) \leq 2 , \operatorname { Im } ( z ) \geq 0 \}$ is\\
(1) $\frac { 7 \pi } { 3 }$\\
(2) $\frac { 7 \pi } { 4 }$\\
(3) $\frac { 17 \pi } { 8 }$\\
(4) $\frac { 3 \pi } { 2 }$

Paper Questions

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