Maharashtra State BoardHSC Arts 11th
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Answer the following: Simplify: i29+i39+i49i30+i40+i50 - Mathematics and Statistics

Sum

Answer the following:

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

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Solution

`("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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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 1 Complex Numbers
Miscellaneous Exercise 1 | Q II. (16) (i) | Page 22
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