AP EAMCET · Maths · Complex Number
If the complex number \(z_1, z_2, 0\) are vertices of an equilateral triangle, then \(z_1^2+z_2^2=\)
- A \(2 z_1^2 z_2^2\)
- B \(z_1^2 z_2^2\)
- C \(2 z_1 z_2\)
- D \(z_1 z_2\)
Answer & Solution
Correct Answer
(D) \(z_1 z_2\)
Step-by-step Solution
Detailed explanation
If \(z_1, z_2\) and \(z_3\) represents the vertices of an equilateral triangle, then \(z_1^2+z_2^2+z_3^2=z_1 z_2+z_2 z_3+z_3 z_1\) In this question, \(\therefore \quad z_1^2+z_2^2=z_1 z_2\)
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