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Rishi Pratap Grade: 11
        

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...


 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Rishi


 


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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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Badiuddin

7 years ago
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