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MathsJEE Main 28 Jan 2026, Shift 1·Q5·MCQ·Moderate

Complex Numbers · Modulus and touching circles

Let zz be a complex number such that ∣z−6∣=5\lvert z - 6\rvert = 5 and ∣z+2−6i∣=5\lvert z + 2 - 6i\rvert = 5. Then the value of z3+3z2−15z+141z^3 + 3z^2 - 15z + 141 is equal to
  1. (1)42
  2. (2)37
  3. (3)50
  4. (4)61

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