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Matrices and Determinants question

2016 · Shift 1 · Q34

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JEE Advanced
Mathematics
Matrices and Determinants
2016 · Shift 1 · Q34

Matrices and Determinants question

2016 · Shift 1 · Q34

JEE AdvancedMathematicsMatrices and DeterminantsNumerical+3 / −1

The total number of distinct x

\in

R for which

\left| {\begin{matrix} x & {{x^2}} & {1 + {x^3}} \\ {2x} & {4{x^2}} & {1 + 8{x^3}} \\ {3x} & {9{x^2}} & {1 + 27{x^3}} \\ \end{matrix} } \right| = 10

is

\underline{\hspace{2cm}}

.

Numerical answer

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