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Complex Numbers question

2025 · 3 Apr · Shift 1 · Q42
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  5. /2025 · 3 Apr · Shift 1 · Q42

Complex Numbers question

2025 · 3 Apr · Shift 1 · Q42

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let z∈Cz \in Cz∈C be such that z2+3iz−2+i=2+3i\frac{z^2+3 i}{z-2+i}=2+3 iz−2+iz2+3i​=2+3i. Then the sum of all possible values of z2z^2z2 is :
  1. A
    −19+2i-19+2 i−19+2i
  2. B
    −19−2i-19-2 i−19−2i
  3. C
    19−2i19-2 i19−2i
  4. D
    19+2i19+2 i19+2i
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