1.

If the lvalue of the determinants `|(a,1,1),(1,b,1),(1,1,c)|` is positive then:A. `abcgt1`B. `abcgt-8`C. `abcgt-8`D. `abcgt-2`

Answer» Correct Answer - 2
`Deltagt0`
abc+ 2`gt`3`(abc)^(1//3)`
Let `(abc)^(1//3)`=x
`x^(3)+2gt3x`
`(x-1)^(2)(x+2)gt0`
`therefore x+2gt0`
`xgt-2`
`(abc)^(1//3)gt-2`
`abcgt-8`


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