NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions

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Question : 3
Total: 52
i−39
Solution:  
i−39 =
1
i39
=
1
(i2)19.i
=
1
(−1)19.i
[Since i2 = - 1]
=
1
(−1).i
=
1
−i
= −
1
i
×
i
i
= −
i
i2
=
−i
−1
= i = 0 + 1i
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