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If z1 = 3+i 3 and z2 = 3+i, then find the quadrant in which (z1z2) lies. - Mathematics

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Question

If z1 = `sqrt(3) + i  sqrt(3)` and z2 = `sqrt(3) + i`, then find the quadrant in which `(z_1/z_2)` lies.

Sum

Solution

`z_1/z_2 = (sqrt(3) + i sqrt(3))/(sqrt(3) + i) = ((3 + sqrt(3))/4) + ((3 - sqrt(3))/4)i` Which is represented by a point in first quadrant.

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Chapter 5: Complex Numbers and Quadratic Equations - Solved Examples [Page 87]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 22 | Page 87

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