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Express the given complex number in the form a + ib: i–39 - Mathematics

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प्रश्न

Express the given complex number in the form a + ib: i–39

योग

उत्तर

We get, `i^39 = 1/(i^39) = i/(i^2)^19 i`

= `1(-1)^19 i. = 1/(-i)`  [∵ i2 = -1]

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

= `- 1/ixxi/i`

= `(-i)/i^2`

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

= i

= 0 + 1i

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Complex Numbers and Quadratic Equations - Exercise 5.1 [पृष्ठ १०३]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Exercise 5.1 | Q 3 | पृष्ठ १०३

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