Complex Numbers And Quadratic Equations question 448

The statement $ (a+ib)<(c+id) $ is not true for [RPET 2002]

Options:

A) $ a^{2}+b^{2}=0 $

B) $ b^{2}+c^{2}=0 $

C) $ a^{2}+c^{2}=0 $

D) $ b^{2}+d^{2}=0 $

Show Answer

Answer:

Correct Answer: D

Solution:

$ a+ib < c+id $ is defined if and only if its imaginary parts must be equal to zero, i.e. $ b=d=0 $. So, $ b^{2}+d^{2}=0 $.



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