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If z1, z2, z3 are complex numbers such t...

If `z_1, z_2, z_3` are complex numbers such that `(2//z_1)=(1//z_2)+(1//z_3),` then show that the points represented by `z_1, z_2()_, z_3` lie one a circle passing through e origin.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  17. If z=r e^(itheta) , then prove that |e^(i z)|=e^(-r sintheta)

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  18. If the roots of the equation x^2+2a x+b=0 are real and distinct and t...

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  19. Z1!=Z2 are two points in an Argand plane. If a|Z1|=b|Z2|, then prove t...

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  20. If the ratio of the roots of a x ^2+2b x+c=0 is same as the ratios of...

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