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Express the given complex number in the form a + ib: [(13+i73)+(4+i13)]-(-43+i)

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प्रश्न

Express the given complex number in the form a + ib:

`[(1/3 + i 7/3) + (4 + i 1/3)] -(-4/3 + i)`

योग
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उत्तर

`[(1/3 + i 7/3) + (4 + i 1/3)] -(-4/3 + i)`

= `[(1/3 + 4) + (7/3 + 1/3)] - ((-4)/3 + i)`

= `((1 + 12)/3) + i ((7 + 1)/3) + 4/3 - i`

= `13/3 + i 8/3 + 4/3 - i`

= `13/3 + 4/3 + i( 8/3 - 1)`

= `(13 + 4)/3 + i ((8 - 3)/3)`

= `17/3 + 5/3 i`

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अध्याय 4: Complex Numbers and Quadratic Equations - EXERCISE 4.1 [पृष्ठ ८३]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 4 Complex Numbers and Quadratic Equations
EXERCISE 4.1 | Q 7. | पृष्ठ ८३

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