Lf det - x x-y x-y-z- 2x 3x-2y 4x-3y-2z- 3x 6x-3y 10x-6y-3z -64 then x-

The correct option is C 4 Given, nbsp; x amp; x+y amp; x+y+z 2x amp; 3x+2y amp; 4x+3y+2z 3x amp; 6x+3y amp; 10x+6y+3z ...

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Inequalities Involving Modulus Function

lf det [[ ...

Question

lf det $⎡ ⎢ ⎣ \begin{matrix} x & x + y & x + y + z 2 x & 3 x + 2 y & 4 x + 3 y + 2 z 3 x & 6 x + 3 y & 10 x + 6 y + 3 z \end{matrix} ⎤ ⎥ ⎦ = 64$ then $x =$

0

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64

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4

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8

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∣ ∣ ∣ ∣ \begin{matrix} x & x + y & x + y + z 2 x & 3 x + 2 y & 4 x + 3 y + 2 z 3 x & 6 x + 3 y & 10 x + 6 y + 3 z \end{matrix} ∣ ∣ ∣ ∣

64

∣ ∣ ∣ ∣ \begin{matrix} x & x + y & x + y + z 2 x & 3 x + 2 y & 4 x + 3 y + 2 z 3 x & 6 x = 3 y & 10 x + 6 y + 3 z \end{matrix} ∣ ∣ ∣ ∣ = 64

x

> 0

x^{3} y^{3} + y^{3} z^{3} + z^{3} x^{3} \geq 3 x^{2} y^{2} z^{2}

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