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MathsJEE Main 8 Apr 2026, Shift 2·Q2·MCQ·Moderate

Complex Numbers · Locus of complex numbers

The number of values of z∈Cz \in \mathbb{C}, satisfying the equations ∣z−(4+8i)∣=10\lvert z - (4 + 8i)\rvert = \sqrt{10} and ∣z−(3+5i)∣+∣z−(5+11i)∣=45\lvert z - (3 + 5i)\rvert + \lvert z - (5 + 11i)\rvert = 4\sqrt5, is:
  1. (1)0
  2. (2)2
  3. (3)1
  4. (4)4

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