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ExamsGATEEngineering Mathematics

z = (2 - 3i)/(-5 + i) can be expressed as

  1. -0.5 - 0.5i
  2. -0.5 + 0.5i
  3. 0.5 - 0.5i
  4. 0.5 + 0.5i

Correct answer: -0.5 + 0.5i

Solution

To simplify the expression, multiply the numerator and denominator by the conjugate of the denominator, which results in a real denominator and allows for the separation of real and imaginary parts, leading to the correct result of -0.5 + 0.5i.

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