Q61. If $z _ { 1 } , z _ { 2 }$ are two distinct complex number such that $\left| \frac { z _ { 1 } - 2 z _ { 2 } } { \frac { 1 } { 2 } - z _ { 1 } \bar { z } _ { 2 } } \right| = 2$, then (1) $z _ { 1 }$ lies on a circle of radius $\frac { 1 } { 2 }$ and $z _ { 2 }$ lies on a (2) both $z _ { 1 }$ and $z _ { 2 }$ lie on the same circle. both $z _ { 1 }$ and $z _ { 2 }$ lie on the same circle. (3) either $z _ { 1 }$ lies on a circle of radius $\frac { 1 } { 2 }$ or $z _ { 2 }$ lies on (4) either $z _ { 1 }$ lies on a circle of radius 1 or $z _ { 2 }$ lies on a a circle of radius 1 . circle of radius $\frac { 1 } { 2 }$.
Q61. If $z _ { 1 } , z _ { 2 }$ are two distinct complex number such that $\left| \frac { z _ { 1 } - 2 z _ { 2 } } { \frac { 1 } { 2 } - z _ { 1 } \bar { z } _ { 2 } } \right| = 2$, then\\
(1) $z _ { 1 }$ lies on a circle of radius $\frac { 1 } { 2 }$ and $z _ { 2 }$ lies on a\\
(2) both $z _ { 1 }$ and $z _ { 2 }$ lie on the same circle. both $z _ { 1 }$ and $z _ { 2 }$ lie on the same circle.\\
(3) either $z _ { 1 }$ lies on a circle of radius $\frac { 1 } { 2 }$ or $z _ { 2 }$ lies on\\
(4) either $z _ { 1 }$ lies on a circle of radius 1 or $z _ { 2 }$ lies on a a circle of radius 1 . circle of radius $\frac { 1 } { 2 }$.