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  4. If A ≡ z1, B ≡ z2, C ≡ z3 be the vertices of triangle A B C. And origin O is the orthocentre of the triangle A B C then

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Q. If $A \equiv z_1, B \equiv z_2, C \equiv z_3$ be the vertices of $\triangle A B C$. And origin $O$ is the orthocentre of the $\triangle A B C$ then

Complex Numbers and Quadratic Equations

Solution:

Correct answer is (a) $z_1 \bar{z}_2+\bar{z}_1 z_2=z_2 \bar{z}_3+\bar{z}_2 z_3=z_3 \bar{z}_1+\bar{z}_3 z_1$