Haryana Police Constable Model Paper 6

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Question : 56 of 100

Marks: +1, -0

Find the value of

{1+\i}/{1−\i}

, where

\i=√{−1}

, is

-1
-i
i
1

Solution:

Concept:

\a ^{2}- \b ^{2}=( \a - \b )( \a + \b )

\i ^{2}=-1

Calculation:
To Find: Value of

{1+\i}/{1-\i}

={1+\i}/{1-\i} \×{1+\i}/{1+\i}

∵(∵ \a^{2}-\b^{2}=(\a-\b)(\a+\b))

={1^{2}+\i^{2}+2 \i}/{1-(-1)}

={1-1+2 \i}/{2}

={2 \i}/{2}

=\i

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