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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Answer the following: Simplify: i29+i39+i49i30+i40+i50

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प्रश्न

Answer the following:

Simplify: `("i"^29 + "i"^39 + "i"^49)/("i"^30 + "i"^40 + "i"^50)`

बेरीज
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उत्तर

`("i"^29 + "i"^39 + "i"^49)/("i"^30 + "i"^40 + "i"^50)`

= `("i"^29(1 + "i"^10 + "i"^20))/("i"^30(1 + "i"^10 + "i"^20)`

= `1/"i" = 1/"i" xx "i"/"i" = "i"/"i"^2`

= `"i"/(-1)`

= – i.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Complex Numbers - Miscellaneous Exercise 1.2 [पृष्ठ २२]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
पाठ 1 Complex Numbers
Miscellaneous Exercise 1.2 | Q II. (16) (i) | पृष्ठ २२

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