a + ib యొక్క స్థిరగుణకమును కనుగొనండి?

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Airforce Group X 13 Jul 2021 Shift 1 Memory Based Paper
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  1. \( \sqrt{a^2 + b^2}\)
  2. \( \sqrt{a^2 - b^2}\)
  3. 1
  4. ఏదీకాదు

Answer (Detailed Solution Below)

Option 1 : \( \sqrt{a^2 + b^2}\)
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Detailed Solution

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భావన:

  • z = x + iy అయితే \(|z| = \sqrt{x^2 + y^2}\)


గణన:

z = a + ib అనుకుందాం

మనకు తెలిసినట్లుగా, z = x + iy అయితే \(|z| = \sqrt{x^2 + y^2}\)

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