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minimum value of modulus of (a+bω+cω 2 ),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...

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...


 

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

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

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
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Regards,
Askiitians Experts
Badiuddin

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