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Find the multiplicative inverse of the complex number .

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answer is D.

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Detailed Solution

Concept- For real or complex numbers, the multiplicative inverse of any number is reciprocal of it. When we multiply a number and its multiplicative inverse, we get an answer of one.
Suppose

is a complex number, the multiplicative inverse of

will be

Where

is Real part and

is Imaginary part of complex number

.
Let,

Multiplicative inverse of would

Now multiplying and dividing by

Therefore,

So the multiplicative inverse of

.
Hence, the correct answer is option (4).

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