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Express the given complex number in the form a + ib: (1 – i)4 - Mathematics

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प्रश्न

Express the given complex number in the form a + ib: (1 – i)4

योग
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उत्तर

(1 – i)2 = [(1 – i)2]2

= [1 – 2i + i2]2

= [1 – 2i – 1]22    [∵ i2 = -1]

= (- 2i)2

= – 2i × -2i

= 4i2

= 4(-1)

= -4

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अध्याय 5: Complex Numbers and Quadratic Equations - Exercise 5.1 [पृष्ठ १०४]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Exercise 5.1 | Q 8 | पृष्ठ १०४

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