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Common Difference

13. If arg (z...

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13. If arg (z+a) =pi/6 and arg (z-a)=2pi/3 :a beongs to positive real number then z= ??

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z

is a complex number satisfying

arg (z + a) = \frac{π}{6}

arg (z - a) = \frac{2 π}{3}, a \in R^{+}

z

is a complex number satisfying

arg (z + a) = \frac{π}{6}

arg (z - a) = \frac{2 π}{3}, a \in R^{+}

z = \cos \frac{π}{4} + i \sin \frac{π}{6}

|z| = 1, a r g (z) = \frac{π}{4}

|z| = 1, a r g (z) = \frac{π}{6}

|z| = \frac{\sqrt{3}}{2}, a r g (z) = \frac{5 π}{24}

|z| = \frac{\sqrt{3}}{2}, a r g (z) = \tan^{- 1} \frac{1}{\sqrt{2}}

a r g (z + a) = \frac{π}{6}

a r g (z - a) = \frac{2 π}{3}, (a \in R^{+})

(z + a) = \frac{π}{6}

(z - a) = \frac{2 π}{3}; a \in R^{+}

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