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

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प्रश्न

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

योग
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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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अध्याय 4: Complex Numbers and Quadratic Equations - EXERCISE 4.1 [पृष्ठ ८२]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 4 Complex Numbers and Quadratic Equations
EXERCISE 4.1 | Q 3. | पृष्ठ ८२

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