InterviewSolution
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InterviewSolution
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If `|{:(a,b,0),(0,a,b),(b,0,a):}|=0`, then which one of the following is correct ?A. a/b is one of the cube roots of unityB. a is one of the cube roots of unityC. b is one of the cube roots of unityD. a/b is one of the cube roots of `-1` |
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Answer» Correct Answer - D We have, `|(a,b,0),(0,a,b),(b,0,a)| =0` `rArr a^(3) + b^(3) = 0` [On expanding the determinant on LHS] `rArr (a//b)^(3) = -1` `rArr a//b` is one of the cube roots of `-1` |
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