If the first term of an infinite geometric series is $x$ and its sum is $5$,then which of the following is true?

The first two terms of a geometric progression add up to $12$. The sum of the third and the fourth terms is $48$. If the terms of the geometric progression are alternately positive and negative,then the first term is

Let the first term $a$ and the common ratio $r$ of a geometric progression be positive integers. If the sum of the squares of the first three terms is $33033$,then the sum of these three terms is equal to

The three sides of a right-angled triangle are in $GP$ (geometric progression). If the two acute angles are $\alpha$ and $\beta$, then $\tan \alpha$ and $\tan \beta$ are

If $5, 5r, 5r^2$ are the lengths of the sides of a triangle,then $r$ cannot be equal to

The sum of the first two terms of a $G.P.$ is $1$ and every term of this series is twice its previous term. Then,the first term will be: