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5. Complex Numbers and Quadratic Equations
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Q25 of 66 Page 91

Fill in the blanks of the following

If |z| = 4 and arg (z) = 5π/6, then z = ………..

Given |z| = 4 and arg (z) = 5π/6


Let z = |z| (cos θ + i sin θ) where θ = arg (z)




= -2√3 + 2i


∴ z = -2√3 + 2i


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25

Fill in the blanks of the following

If |z + 4| ≤ 3, then the greatest and least values of |z + 1| are ……… and …….

25

Fill in the blanks of the following

If then the locus of z is ………….

26

State True of False for the following:

The order relation is defined on the set of complex numbers.

26

State True of False for the following:

Multiplication of a non zero complex number by –i rotates the point about origin through a right angle in the anti-clockwise direction.

Questions · 66
5. Complex Numbers and Quadratic Equations
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