jee-main 2020 Q53

jee-main · India · session2_04sep_shift1 Complex Numbers Argand & Loci Circle Equation and Properties via Complex Number Manipulation

Let $u = \frac { 2 z + i } { z - k i } , z = x + i y$ and $k > 0$. If the curve represented by Re $( u ) + \operatorname { Im } ( u ) = 1$ intersects the $y$-axis at points P and Q where $\mathrm { PQ } = 5$ then the value of k is
(1) $\frac { 3 } { 2 }$
(2) $\frac { 1 } { 2 }$
(3) 4
(4) 2

Let $u = \frac { 2 z + i } { z - k i } , z = x + i y$ and $k > 0$. If the curve represented by Re $( u ) + \operatorname { Im } ( u ) = 1$ intersects the $y$-axis at points P and Q where $\mathrm { PQ } = 5$ then the value of k is\\
(1) $\frac { 3 } { 2 }$\\
(2) $\frac { 1 } { 2 }$\\
(3) 4\\
(4) 2

Paper Questions

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