InterviewSolution
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InterviewSolution
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Which of the following values of `alpha`satisfying the equation `|(1+alpha)^2(1+2alpha)^2(1+3alpha)^2(2+alpha)^2(2+2alpha)^2(2+3alpha)^2(3+alpha)^2(3+2alpha)^2(3+3alpha)^2|=-648alpha?``-4`b. `9`c. `-9`d. `4`A. `-4`B. `9`C. `-9`D. 4 |
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Answer» Correct Answer - 2,3 Wen have `|{:((1+alpha^(2)),,(1+2alpha)^(2),,(1+3alpha)^(2)),((2+alpha)^(2),,(2+2alpha)^(2),,(2+3alpha)^(2)),((3+alpha)^(2),,(3+2alpha)^(2),,(3+3alpha)^(2)):}|=-648alpha` Applying `R_(3)to R_(3) -R_(2),R_(2) to R_(2)-R_(1)` `rArr |{:((1+alpha)^(2),,(1+2alpha)^(2),,(1+3alpha)^(2)),(3+2alpha,,3+4alpha,,3+6alpha),(5+2alpha,,5+4alpha,,5+6alpha):}|=-648alpha` Applying `R_(3) to R_(3)-R_(2)` `rArr |{:((1+alpha)^(2),,(1+2alpha)^(2),,(1+3alpha)^(2)),(3+2alpha,,3+4alpha,,3+6alpha),(2,,2,,2):}|=-648alpha` Applying `C_(3)to C_(3)-C_(2),C_(2)to C_(2)-C_(1)` `|{:((1+alpha)^(2),,alpha(2+3alpha),,alpha(2+5alpha)),(3+2alpha,,2alpha,,2alpha),(2,,0,,0):}|=-648alpha` `rArr 2alpha^(2)(2+3alpha)-2alpha^(2)(2+5alpha)=-324alpha` `rArr -4alpha^(3)=-324alpha` `rArr alpha=0,+-9` |
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