Let ω be the complex number \cos{2\pi}/3 + isin{2\pi}/3. Then, the number of distinct complex numbers z satisfying |\table z+1,\omega,\omega^2;\omega,z+\omega^2,1;\omega^2,1,z+\omega| = 0 is equal to ____. [JEE Adv 2010 P1]

Matrices and Determinants

Section: Mathematics

Question : 1 of 56

Marks: +1, -0

Let ω be the complex number cos

2π

+isin

2π

.
Then, the number of distinct complex numbers z satisfying
|

| = 0 is equal to ____.

[JEE Adv 2010 P1]

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