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Q.

Find the multiplicative inverse of the complex number   Question Image.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

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 Question Image is a complex number, the multiplicative inverse of Question Imagewill beQuestion Image.
                                                        Question ImageWhere Question Imageis Real part and Question Imageis Imaginary part of complex numberQuestion Image.
 Let, Question ImageMultiplicative inverse of would Question Image be Question ImageQuestion Image Question ImageNow multiplying and dividing byQuestion Image,
Question ImageQuestion Image      Question ImageQuestion ImageTherefore,
Question ImageSo the multiplicative inverse of Question ImageisQuestion Image.
Hence, the correct answer is option (4).
 
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