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13. Complex Numbers
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Q6 of 153 Page 14

Express in polar form.

Given Complex number is


We know that sin2θ=2sinθcosθ and 1-cos2θ=2sin2θ


⇒


⇒


∴ The Polar form of is .


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4

If z1 and z2 are two complex number such that |z1| = |z2| and arg (z1) + arg (z2) = π, then show that z_1 = - bar z_2

5

If z1, z2 and z3, z4 are two pairs of conjugate complex numbers, prove that arg ( z_1/z_4 ) + arg ( z_2/z_3 ) = 0

1

Write the value of the square root of i.

2

Write the values of the square root of –i.

Questions · 153
13. Complex Numbers
1 2 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 6 7 8 9 10 11 12 13 14 15 16 16 16 16 16 17 18 19 20 21 22 23 24 25 26 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43
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