JEE Advance - Mathematics Hindi (2016 - Paper 1 Offline - No. 16)

कुल भिन्न x $$\in$$ R की संख्या जिसके लिए

$$\left| {\matrix{ x & {{x^2}} & {1 + {x^3}} \cr {2x} & {4{x^2}} & {1 + 8{x^3}} \cr {3x} & {9{x^2}} & {1 + 27{x^3}} \cr } } \right| = 10$$ है ______________।

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2

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