Question
Download Solution PDFi1325 का मान ज्ञात करें, जहाँ \({\rm{i}} = \sqrt { - 1} \) ____ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
I की घात:
- i = \(\sqrt{-1}\)
- i2 = -1
- i3 = -i × i2 = -i
- i4 = (i2)2 = (-1)2 = 1
- i4n = 1
गणना:
\(\Rightarrow i^{1325}=i^{(1324+1)}\)
\(=(i^{4})^{331}\times i\)
\(=1\times i\) [∵ i4n = 1]
\(=i\)
\(\therefore i^{1325}=i\)
इसलिए, विकल्प 1 सही है
Last updated on May 31, 2025
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