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Matrices and Determinants question

2015 · Shift 1 · Q38
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  2. /JEE Advanced
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  5. /2015 · Shift 1 · Q38

Matrices and Determinants question

2015 · Shift 1 · Q38

JEE AdvancedMathematicsMatrices and DeterminantsMultiple correct+4 / −2
Which of the following values of α\alphaα satisfy the equation ∣(1−α)2(1+2α)2(1+3α)2(2+α)2(2+2α)2(2+3α)2(3+α)2(3+2α)2(3+3α)2∣=−648α\left| {\begin{matrix} {{{(1 - \alpha )}^2}} & {{{(1 + 2\alpha )}^2}} & {{{(1 + 3\alpha )}^2}} \\ {{{(2 + \alpha )}^2}} & {{{(2 + 2\alpha )}^2}} & {{{(2 + 3\alpha )}^2}} \\ {{{(3 + \alpha )}^2}} & {{{(3 + 2\alpha )}^2}} & {{{(3 + 3\alpha )}^2}} \\ \end{matrix} } \right| = - 648\alpha​(1−α)2(2+α)2(3+α)2​(1+2α)2(2+2α)2(3+2α)2​(1+3α)2(2+3α)2(3+3α)2​​=−648α ?
  1. A
    −-− 4
  2. B
    9
  3. C
    −-− 9
  4. D
    4
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