Complex Numbers And Quadratic Equations question 350

Question: Which one of the following statement is true [RPET 2002]

Options:

A) $ |x-y|=|x|-|y| $

B) $ |x+y|\le |x|-|y| $

C) $ |x-y|\ge |x|-|y| $

D) $ |x+y|\ge |x|-|y| $

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Answer:

Correct Answer: C

Solution:

It is based on the properties of moduli.