Z1=?3+i?3 z2=?3+i then in which quadrant z1/z2 lies

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Z1=?3+i?3 z2=?3+i then in which quadrant z1/z2 lies

Asked by adithyanadi720 | 03 Mar, 2023, 12:39: PM

Expert Answer

Two complex numbers z1 and z2 are given.

straight z subscript 1 over straight z subscript 2 equals fraction numerator square root of 3 plus straight i square root of 3 over denominator square root of 3 plus straight i end fraction equals fraction numerator square root of 3 plus straight i square root of 3 over denominator square root of 3 plus straight i end fraction cross times fraction numerator square root of 3 minus straight i over denominator square root of 3 minus straight i end fraction equals fraction numerator 3 plus 3 straight i minus straight i square root of 3 plus square root of 3 over denominator 4 end fraction equals open parentheses fraction numerator 3 plus square root of 3 over denominator 4 end fraction close parentheses plus open parentheses fraction numerator 3 minus square root of 3 over denominator 4 end fraction close parentheses straight i So comma space straight z subscript 1 over straight z subscript 2 space lies space in space the space first space quadrant.

Answered by Renu Varma | 06 Mar, 2023, 18:02: PM

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