IIT JEE , AIEEE Forum - Mathematics , Algebra

konichiwa2x

Hi,

If

, then prove that

.

How do I prove this? thanks for your time.

sss

by the fact that sum of 2 sides of a triangle is greater than the sum of other 2 sides,
z1 , z2 , (z1+z2) will form a triangle.
therefore angle between z1 and z2 > 0 and < pi.
i.e. 0< arg(z1) - arg(z2) < pi
i.e.0< arg(z1/z2)< pi

konichiwa2x

thanks! u think there is a way to prove it algebraically?

rajat

plzzzzzzzzzzzzzzzzzzzzzzzzzzz. ask this question to the experts on my behalf as i have no nickles now.i will be grateful to you.also i think the information given is insufficient because the inequality given is not helpful in any way,infact what it says is obvious.so plzz. re-check ur question

konichiwa2x

yes u right. the info given is not sufficient. many others who I discussed this question with said the same thing. So lets just leave this one. I have only 2 nickles left!

konichiwa2x

actually, I think the question should have been "If

then prove that

."

This is true, because if you square both sides then you get

,

(the last line follows by dividing the previous line by

, which is real and positive).

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