jee-main 2017 Q62

jee-main · India · 08apr Complex Numbers Argand & Loci Circle Equation and Properties via Complex Number Manipulation

Let $z \in C$, the set of complex numbers. Then the equation, $2 | z + 3 i | - | z - i | = 0$ represents:
(1) A circle with radius $\frac { 8 } { 3 }$
(2) An ellipse with length of minor axis $\frac { 16 } { 9 }$
(3) An ellipse with length of major axis $\frac { 16 } { 3 }$
(4) A circle with diameter $\frac { 10 } { 3 }$

Let $z \in C$, the set of complex numbers. Then the equation, $2 | z + 3 i | - | z - i | = 0$ represents:\\
(1) A circle with radius $\frac { 8 } { 3 }$\\
(2) An ellipse with length of minor axis $\frac { 16 } { 9 }$\\
(3) An ellipse with length of major axis $\frac { 16 } { 3 }$\\
(4) A circle with diameter $\frac { 10 } { 3 }$

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