jee-main 2020 Q52

jee-main · India · session2_06sep_shift1 Complex Numbers Argand & Loci Locus Identification from Modulus/Argument Equation
The region represented by $\{ z = x + i y \in C : | z | - \operatorname { Re } ( z ) \leq 1 \}$ is also given by the inequality
(1) $y ^ { 2 } \geq 2 ( x + 1 )$
(2) $y ^ { 2 } \leq 2 \left( x + \frac { 1 } { 2 } \right)$
(3) $y ^ { 2 } \leq \left( x + \frac { 1 } { 2 } \right)$
(4) $y ^ { 2 } \geq x + 1$
The region represented by $\{ z = x + i y \in C : | z | - \operatorname { Re } ( z ) \leq 1 \}$ is also given by the inequality\\
(1) $y ^ { 2 } \geq 2 ( x + 1 )$\\
(2) $y ^ { 2 } \leq 2 \left( x + \frac { 1 } { 2 } \right)$\\
(3) $y ^ { 2 } \leq \left( x + \frac { 1 } { 2 } \right)$\\
(4) $y ^ { 2 } \geq x + 1$