Let zC the set of complex numbers.Then the equation ,2|z+3|-|z-1|=0 represents:

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Q. Let

z ϵ C

, the set of complex numbers. Then the equation,

2 | z + 3 i | - | z - i | = 0

represents.

Q. Assertion :Let

z

be a complex number.The equation

| z - 1 | + | z - i | = 2

represents an ellipse. Reason: The equation

| z - z_{1} | + | z - z_{2} | = k

where k is positive, represents an ellipse.

Q. Assertion :Let z be a complex number.
The equation |z - 1| - |z - i| = 1 represents a part of hyperbola. Reason: The equation

| z - z_{1} | - | z - z_{2} | = k

is a hyperbola.

Q. Let

S

denote the set of complex numbers

z

such that

{log}_{1 / 3} ({log}_{1 / 2} (| z |^{2} + 4 | z | + 3)) < 0

, then

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If the complex numbers $z_{1}, z_{2}, z_{3}$ represents vertices of a triangle ABC satisfy the equation $z^{3}$ = 1. If there is a complex number $z_{0}$ satisfying $\frac{1}{z_{0} - z_{1}} + \frac{1}{z_{0} - z_{2}} + \frac{1}{z_{0} - z_{3}}$ = 0 then $z_{0}$ is

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