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The condition that the roots of x^3 + 3 ...

The condition that the roots of `x^3 + 3 px^2 + 3qx +r=0` may be in `G.P.` is

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show that the condition that the roots of x^3 + 3 px^2 + 3 qx +r=0 may be in A.P " is" 2p^3 -3pq +r=0

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show that the condition that the roots of x^3 + px^2 + qx +r=0 may be in G.P is p^3 r=q^3

show that the condition that the roots of x^3 + px^2 + qx +r=0 may be in G.P is p^3 r=q^3