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If roots of x^3+bx^2+cx+d=0 are (A) in...

If roots of `x^3+bx^2+cx+d=0` are (A) in A.P. then `2b^3-9bc+27d=0` (B) in GP then `b^3d=c^3` (C) in GP then `27d^3=9bcd^2-4c^3d` (D) equal then `c^3=b^3+3bc`

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The condition that the roots of the equation ax^3+bx^2+cx+d=0 may be in A.P., if (i)2b^3+27a^2d=9abc (ii)2b^3+27a^2d=-9abc (iii) 2b^3-27a^2d=9abc (iv) 2b^3-27a^2d=-9abc

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