If the roots of the cubic equation $a{x^3} + b{x^2} + cx + d = 0$ are in $G.P.$, then
${c^3}a = {b^3}d$
$c{a^3} = b{d^3}$
${a^3}b = {c^3}d$
$a{b^3} = c{d^3}$
For what values of $x$, the numbers $\frac{2}{7}, x,-\frac{7}{2}$ are in $G.P.$?
Find the sum to indicated number of terms in each of the geometric progressions in $\left.x^{3}, x^{5}, x^{7}, \ldots n \text { terms (if } x \neq\pm 1\right)$
The two geometric means between the number $1$ and $64$ are
If in an infinite $G.P.$ first term is equal to the twice of the sum of the remaining terms, then its common ratio is
If ${G_1}$ and ${G_2}$ are two geometric means and $A$ the arithmetic mean inserted between two numbers, then the value of $\frac{{G_1^2}}{{{G_2}}} + \frac{{G_2^2}}{{{G_1}}}$is