13 question

13 question (60) Vidyalankar : JEE - Mathematics 13. If iz3 + z2 —z 4i-O, then show that. Izl 1. 14. use de—M0ivre's theorem to solve the equation = 15. If 1, 0), are the three cube roots of unity, show that (a + + (a cco)3 = (2a —b — c)(2b —c -a 27 abc if a + b + c Part II (Geometrical Interpretation: To be discussed aft 16. Find the complex •maximum pos tz-51S3. 17. Prove that the Gea ot triangle whose vertice

Thus, z = i

Hence, proved.

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