Question
Download Solution PDFComprehension
कोण θ क्या है ताकि z शुद्धतः अधिकल्पित है ?
जहां n एक पूर्णांक है
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि z = x + iy शुद्ध रूप से काल्पनिक है, तो x = 0 है।
गणना:
दिया गया है,
z =
(1 + i sin θ) से अंश और हर को गुणा करने पर,
चूँकि z शुद्ध रूप से काल्पनिक है,
⇒
⇒ cos2θ = 0
⇒ θ =
∴ सही उत्तर विकल्प (2) है।
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