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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Find the value of i49 + i68 + i89 + i110

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प्रश्न

Find the value of i49 + i68 + i89 + i110 

बेरीज
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उत्तर

i49 + i68 + i89 + i110 

= i48 × i + i68 + i88 × i + i110

= (i2)24i + (i2)34 + (i2)44i + (i2)55

= (– 1)24i + (– 1)34 + (– 1)44i + (– 1)55

= i + 1 + i – 1

= 2i.

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पाठ 1: Complex Numbers - Exercise 1.1 [पृष्ठ ६]

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