Complex Numbers And Quadratic Equations question 449

Question: The multiplication inverse of a number is the number itself, then its initial value is [RPET 2003]

Options:

A) i

B) - 1

C) 2

D) - i

Show Answer

Answer:

Correct Answer: B

Solution:

We know that, multiplicative inverse of $ x+iy $ is $ \frac{1}{x+iy} $ According to question $ x+iy=\frac{1}{x+iy} $ and only (b) is satisfying such condition.