another complex no.......

\hspace{-16}$Find all Complex no. $\mathbf{z}$ that satisfy the equations\\\\ $\mathbf{\ | z+3|+|z-3|=10}$ and $\mathbf{\ |2z+3i|=\sqrt{109}}$.

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21
Swaraj Dalmia ·

1st is an eqn. of ellipse with foci(3,0),(-3,0)[ae=3] and 2a=10.
2nd one is of a circle with centre(0,-3/2) and radius=√109/2
Solve the two eqn. to get the soln.

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