The number of solutions of the equations |z - (4 + 8i)| = 10 and |z - (3 + 5i)| + |z…

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

The number of solutions of the equations ∣z−(4+8i)∣=10 and ∣z−(3+5i)∣+∣z−(5+11i)∣=45,|z - (4 + 8i)| = \sqrt{10} \text{ and } |z - (3 + 5i)| + |z - (5 + 11i)| = 4\sqrt{5}, where i=−1i = \sqrt{-1} .

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