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If there exist exactly one complex number satisfying the conditions | z - ki |≤√3 & arg(z) ≤π/6 find k

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Q. Assertion :There are exactly two complex numbers which satisfy the complex equations

| z - 4 - 5 i | = 4

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simultaneously. Reason: A line cuts the circle in atmost two points.

Q. The locus of the complex number

z

in an argand plane satisfying the equation

A r g (z + i) - A r g (z - i) = \frac{π}{2}

Q. The locus of the complex number

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i = \sqrt{- 1}

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a r g (z - a) = \frac{π}{4}

a \in R

Q. If z is complex number then interpret the locus of following in complex plane

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a = 3 + 4 i

Q. Number of unimodular complex number which satisfies the locus

a r g (\frac{z - 1}{z + i}) = \frac{π}{2}

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