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IIT JEE 2007 Practice : MATHEMATICS - Subjective Problems

This section contains 4 numerical problems. The answer to each of the questions would lie between 0 and 9999. You have to simply write the correct numerical value in the input box provided. You will be awarded 6 marks for correct numerical value and 0 for an incorrect value.
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If a, b and c are integers not all equal and ω is the cube root of unity (¹ 1), then the minimum value of the expression |a + bω + cω 2| is

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