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Using Properties of Determinants, Prove That: |(X, X^2, 1+Px^3),(Y, Y^2, 1+Py^3),(Z, Z^2, 1+Pz^2)| = (1 + Pxyz) (X – Y) (Y – Z) (Z – X), Where P is Any Scalar. - Mathematics

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प्रश्न

Using properties of determinants, prove that:

`|(x, x^2, 1+px^3),(y, y^2, 1+py^3),(z, z^2, 1+pz^2)|` = (1 + pxyz) (x – y) (y – z) (z – x), where p is any scalar.

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उत्तर

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अध्याय 4: Determinants - Exercise 4.7 [पृष्ठ १४२]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 4 Determinants
Exercise 4.7 | Q 12 | पृष्ठ १४२

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