Suppose $$z1$$, $$z2$$, $$z3$$ are three complex numbers, and Δ$$=14i1z1z$$¯$$11z2z$$¯$$21z2z$$¯$$3$$ then

Correct option is 2Im (∆) = 0

Questions

Suppose z₁, z₂, z₃ are three complex numbers, and $Δ = \frac{1}{4 i} |\begin{array}{ccc} 1 & z_{1} & {\bar{z}}_{1} \\ 1 & z_{2} & {\bar{z}}_{2} \\ 1 & z_{2} & {\bar{z}}_{3} \end{array}|$ then

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Re (∆) = 0

Im (∆) = 0

Re (∆) ≥ 0

Im (∆) ≤0

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detailed solution

Correct option is B

Δ¯=1−4i1z¯1z11z¯2z21z¯3z3=Δ⇒∆ is purely real ⇒ Im(∆) = 0

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Suppose z1, z2, z3 are three complex numbers, and Δ=14i1z1z¯11z2z¯21z2z¯3 then

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Ready to Test Your Skills?

free study material

Suppose z₁, z₂, z₃ are three complex numbers, and $Δ = \frac{1}{4 i} |\begin{array}{ccc} 1 & z_{1} & {\bar{z}}_{1} \\ 1 & z_{2} & {\bar{z}}_{2} \\ 1 & z_{2} & {\bar{z}}_{3} \end{array}|$ then