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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

The value of is ……………………………….

Given √-25 × √-9


= i √25 × i √9


= i2 (5 × 3)


= -15


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24

If z and w are two complex numbers such that |zw| = 1 and arg (z) – arg (w) = π/2, then show that

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Fill in the blanks of the following

For any two complex numbers z1, z2 and any real numbers a, b, |az1 – bz2|2 + |bz1 + az2|2 = ….

25

Fill in the blanks of the following

The number (1-i)^3/1-i^3 is equal to ………………..

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Fill in the blanks of the following

The sum of the series i + i2 + i3 + …. Upto 1000 terms is…………

Questions · 66
5. Complex Numbers and Quadratic Equations
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