If z-1-i- 3- - arg z - - arg z -

The correct option is B 2π3 z=i+i√(3) #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; z̅=1 i√ ...

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Properties of Modulus

If z=1+i√ 3...

Question

If $z = 1 + i \sqrt{3,} | a r g (z) | + ∣ ∣ a r g (¯ ¯ ¯ z) ∣ ∣$

\frac{π}{3}

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\frac{2 π}{3}

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0

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\frac{π}{2}

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Solution

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Similar questions

z

C o l u m n - I

a r g (z)

c o l u m n - I I

$C o l u m n - I$ (equation in z)	$C o l u m n - I I$ (principal value of arg(z))
$z^{2} - z + 1 = 0$	$- 2 π / 3$
$z^{2} + z + 1 = 0$	$- π / 3$
${2 z}^{2} + 1 + i \sqrt{3} = 0$	$π / 3$
${2 z}^{2} + 1 - i \sqrt{3} = 0$	$2 π / 3$

z,

A r g (z - 3 - 2 i) = \frac{π}{6}

A r g (z - 3 - 4 i) = \frac{2 π}{3}

a r g (z + a) = \frac{π}{6}

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

a r g (\frac{z - 1}{z + 1}) = \frac{π}{3}

| z - 3 i | = 3

a r g z \in (0, \frac{π}{2})

c o t (a r g z) - \frac{6}{z}

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