i − 39

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

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Question : 3 of 52

Marks: +1, -0

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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