मराठी

What is the value of i4n+1-i4n-12?

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प्रश्न

What is the value of `(i^(4n + 1) -i^(4n - 1))/2`?

बेरीज
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उत्तर

i, because `(i^(4n + 1) -i^(4n - 1))/2 = (i^(4n)i - i^(4n)i^-i)/2`

= `(i - 1/i)/2`

= `(i^2 - 1)/(2i)`

= `(-2)/(2i)`

= i

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पाठ 5: Complex Numbers and Quadratic Equations - Solved Examples [पृष्ठ ८७]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
पाठ 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 19 | पृष्ठ ८७

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