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5. Complex Numbers and Quadratic Equations
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Q29 of 29 Page 5

If , prove that and .

We have,



Take conjugate on both sides,





Now,





Hence proved.


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25

Find the modulus and argument of .

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Show that the complex number z, satisfying lies on the circle.

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express 1- sin α + i cos α in the form of r (cos θ + i sin θ).

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If z1 is a complex number other than -1 such that |z1|=1 and , then show that the real parts of z2 is zero.

Questions · 29
5. Complex Numbers and Quadratic Equations
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