1. Two parabolas param 1 and param 2 touch at a point lying on the $O x$ axis. Through point $D$, the second intersection point of the first parabola with the $O x$ axis, a vertical line is drawn, intersecting the second parabola at point $A$ and the common tangent to the parabolas at point $B$. Find the ratio $D A: D B$.

| param1 | param2 |  |
| :---: | :---: | :---: |
| $y=x^{2}+a x+b$ | $y=-3 x^{2}+c x+d$ |  |
| $y=2 x^{2}+a x+b$ | $y=-5 x^{2}+c x+d$ |  |
| $y=x^{2}+a x+b$ | $y=-6 x^{2}+c x+d$ |  |
| $y=2 x^{2}+a x+b$ | $y=-3 x^{2}+c x+d$ |  |
1. Two parabolas param 1 and param 2 touch at a point lying on the $O x$ axis. Through point $D$, the second intersection point of the first parabola with the $O x$ axis, a vertical line is drawn, intersecting the second parabola at point $A$ and the common tangent to the parabolas at point $B$. Find the ratio $D A: D B$.

| param1 | param2 | Answer |
| :---: | :---: | :---: |
| $y=x^{2}+a x+b$ | $y=-3 x^{2}+c x+d$ | 4 |
| $y=2 x^{2}+a x+b$ | $y=-5 x^{2}+c x+d$ | 3.5 |
| $y=x^{2}+a x+b$ | $y=-6 x^{2}+c x+d$ | 7 |
| $y=2 x^{2}+a x+b$ | $y=-3 x^{2}+c x+d$ | 2.5 |