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The total number of distinct x in R for...

The total number of distinct x `in` R for which
`|{:(x,x^(2),1+x^(3)),(2x,4x^(2),1+8x^(3)),(3x,9x^(2),1+27x^(3)):}|=10` is

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Knowledge Check

  • If x, y, z are all distinct and |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(3))|=0 then value of x y z is :

    A
    `-1`
    B
    `-2`
    C
    1
    D
    2

  • Let f:R rarr R be defined by f(x)={{:(2x, xgt3),(x^2,1lexlt3),(3x,xle1):} Then f(-1)+f(2) +f(4) is

    A
    9
    B
    14
    C
    5
    D
    None of these

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