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Find the value of i49 + i68 + i89 + i110

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प्रश्न

Find the value of i49 + i68 + i89 + i110 

योग
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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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अध्याय 1: Complex Numbers - Exercise 1.1 [पृष्ठ ६]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 1 Complex Numbers
Exercise 1.1 | Q 9. (i) | पृष्ठ ६

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