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Complex Numbers · 2022 · Shift 1

2 Mathematics questions from this JEE Advanced paper
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Complex Numbers · 2022 · Shift 1

2 Mathematics questions from this JEE Advanced paper

  1. Q22.Let z be a complex number with a non-zero imaginary part. If 2−3z+4z22+3z+4z2​ is a real number, then the value of ∣z∣2 is ​.
    Mathematics · Complex Numbers · Numerical
  2. Q23.Let zˉ denote the complex conjugate of a complex number z and let i=−1​. In the set of complex numbers, the number of distinct roots of the equation zˉ−z2=i(zˉ+z2) is ​…
    Mathematics · Complex Numbers · Numerical