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If a r g["z"1("z"3-"z"2)]=a r g["z"3("z"...

If `a r g["z"_1("z"_3-"z"_2)]=a r g["z"_3("z"_2-"z"_1)]` , then prove that `O ,z_1, z_2, z_3` are concyclic, where O is the origin.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If the equation x^2+ax+bc=0" and " x^2+bx+ca=0 have a common root, the...

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  3. If a r g["z"1("z"3-"z"2)]=a r g["z"3("z"2-"z"1)] , then prove that O ,...

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  4. If x" - "i y" "=sqrt((a-i b)/(c-i d)) prove that (x^2+y^2)^2=(a^2+b^2...

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  17. If a , b ,c real in G.P., then the roots of the equation a x^2+b x+c=0...

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  18. If z0 is the circumcenter of an equilateral triangle with vertices z1,...

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