If origin and non-real roots ofform three vertices of an equilateral triangle in argand plane then andlambda;is :Correct answer is '0.667'. Can you explain this answer?

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If origin and non-real roots of

form three vertices of an equilateral triangle in argand plane then λ is :

Correct answer is '0.667'. Can you explain this answer?

FREE This question is part of

Complex Number NAT Level - 1

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Verified Answer

If origin and non-real roots ofform three vertices of an equilateral t...

for non-real roots 4 - 8λ<0
λ > 1/2
for equilateral triangle
|z₁ – z₂ | = |z₂ – z₃ | = |z₃ – z₁ |
⇒

The correct answer is: 0.667

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If origin and non-real roots ofform three vertices of an equilateral triangle in argand plane then λis :Correct answer is '0.667'. Can you explain this answer?

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