Let z , w be complex numbers such that z ˉ + i w ˉ = 0 and ar g z w = π . Then arg z equals

Here ω = i z ⇒ ar g ( z ⋅ i z ) = π ⇒ 2 ar g ( z ) − ar g ( i ) = π ⇒ ar g ( z ) = 4 3 π .

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MathematicsComplex NumberGeneral(Modulus,Argument,Conjugate)Medium2 minPYQ_2004

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Let $z$ , $w$ be complex numbers such that $\overset{z}{ˉ} + i \overset{w}{ˉ} = 0$ and $ar g z w = π$ . Then arg $z$ equals

Answer:

Solution:

Here $ω = \frac{z}{i} \Rightarrow ar g (z \cdot \frac{z}{i}) = π \Rightarrow 2 ar g (z) - ar g (i) = π \Rightarrow ar g (z) = \frac{3 π}{4}$ .

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:General(Modulus,Argument,Conjugate)

⏱ 2mℹ️ Source: PYQ_2004

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