Complex Numbers And Quadratic Equations question 448

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