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Prove that the complex numbers z1,z2 and...

Prove that the complex numbers `z_1,z_2` and the origin from an isoceles triangle with vertical angle `(2pi)/3` if `z_1^2+z_1z_2+z_2^2=0`

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PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
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  5. Show that complex numbers (2+i3), (2-i3), (3-i2), (3+i2) are concyclic...

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  7. If z1,z2,z3 are three complex number then prove that z1Im(barz2.z3)+z2...

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  14. Ifomega is the imaginary cube root of unity and a+b+c=0 then show that...

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  15. Ifz1,z2,z3 represent three vertices of an equilateral triangle in arga...

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  16. Prove that the complex numbers z1,z2 and the origin from an isoceles t...

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  18. If z1,z2,z3………..zn are n complex numbers s.t, abs(z1)=abs(z2)=………….abs...

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  19. z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...

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  20. If costheta=1/2(a+1/a) cos(phi)=1/2(b+1/b) show that one of the valu...

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