Mathematics Hard css pms fpsc

What is the value of (2+3i)(2-3i)?

  • A 4+9i
  • B 4-9i
  • C 13
  • D 7
Correct Answer: Option C — 13
Explanation: (2+3i)(2-3i) = 2²-(3i)² = 4-9i² = 4-9(-1) = 4+9 = 13. The product of a complex number and its conjugate always gives a real number equal to sum of squares of real and imaginary parts. This property is used to rationalize complex denominators when dividing complex numbers.
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