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Question 119Asked in BPSC TRE 3.0 (2024) Mathematics Class 11-12

The principal value of iⁱ, isiⁱ का मुख्य मान है

iⁱ का मुख्य मान है
  1. Ae^(−π/2)e^(−π/2)
  2. Be^(π/2)e^(π/2)
  3. C11
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (A) e^(−π/2)e^(−π/2)

Explanation

With the principal value, i = e^(iπ/2), so iⁱ = e^(i · iπ/2) = e^(−π/2), a real number.मुख्य मान लेने पर i = e^(iπ/2), इसलिए iⁱ = e^(i · iπ/2) = e^(−π/2), जो एक वास्तविक संख्या है।

From BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper

This is question 119 of BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.