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question from iit 2011

ohkay

w is cube root of unity i believe.. the complex cube root of unity

What's iit?

yeah it is

IIT-indian institute of technology

it is the best institute in india for engineering

Ok, thks, I didn't know...

Not really an engineering question:-)

yeah but after 12 th we have to give entrance test jee( i don't know the full form) it's from that

i had solved the ques using a short cut to save time

jee to get into iit

jee-joint entrance exam

Mind u, maybe u have to be an engineer to solve it..

oh well let me try it
well i get confused jee e for entrance or engineering lol

just take a=b=c=1 and get x,y,z and ur done!!!!! lol!!!! but now i want the technical answer

well 3a = x+y+z

that did get me 4 marks in the paper..substitution

right add all the three. 1+w+wsquare is 0

any suggestions estudier??? ishaan i cant find a way ahead of it..

me too but wait a minute

I don't like this kind of problems..:-

well |3a| = |x + y+z|

dude do u remeber (a+b+c)(a+bw+cw^2)(a+bw^2+cw)=?????? its a formula.. i am not remembering

a^2 + b^2 +c^2 -ab +ac -cb

not including (a+b+c)

-ac dude.. all signs were same no?

well including a+b+c it becomes x^3 + y^3 +z^3 -3xyz
x=a
y=b
z=c

ya right.. that was d formula..

lets do it x^2 + y^2 +z^2 you find y while i find x^2 and z^2

your right

hey (x + y+z) ^2 = x2 +y2 + z2 +2xy + 2xz+2yz

x + y +z = 3a

hey (x + y+z) ^2 = x2 +y2 + z2 +2xy + 2xz+2yz
I saw that in your puzzle from yesterday...

9a^2 = x^2 + y^2 +z^2 +2xy + 2zy +2xz

yeah

right

so ^2 make minus sign vanish

it implies x^2 = |x|^2

ofcourse.. its given just to confuse mod is not needed

-ve sign don't exist in squares

letme solve a lil

:D

@face give it a try

damn iit never let someone enter easily

but the substitution method is alays there!!!!! lol!! the only weak point of iit jee.. lol!!!

well what was the options

*always

lol

its an integer type ques 0 to 9 all options

aahhhh scary

generally we mark 2 if we dun kno... 40 percent of ques hav ans 2 lol!!!

Ok , Here I go

ya go go bye. lol js kidding

Beauty