IIT JEE Advanced 2011 Paper 1

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Let a, b and c be three real numbers satisfying
[
abc
]
[
197
827
737
]
= [
000
]
(E)
Section: Mathematics
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Question : 61 of 69
 
Marks: +1, -0
Let ω be a solution of x31 = 0 with Im(ω) > 0. If a = 2 with b and c satisfying (E), then the value of
3
ωa
+
1
ωb
+
3
ωc
is equal to
[JEE Adv 2011 P1]
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