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minimum value of modulus of (a+bω+cω2 ),wherea,b,c r all not equal integers & ( ω is not equal to 1) is a cubic root of unity is....(IIT-JEE-2005)
please give detail explanation with every step...
Dear Rishi
steps
1 put value of w and w2
2 arange in x+iy form
3 use modulus formula
4 simplify it
5 since number are integer and not all equal so take a=b=1 it will make one bracket zero and and take c=2
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