- #1

- 181

- 0

## Homework Statement

Find the point in respect to these ellipses are symmetrical

x

^{2}+ 3y

^{2}- 2x -2 = 0

x

^{2}+ 3y

^{2}+6x + 12y +18 = 0

## Homework Equations

x = 2a - x

^{'}

y = 2b - y

^{'}

## The Attempt at a Solution

I have applied the equations of symmetry to the first equation then I've equaled the result to the second ellipse

4a

^{2}+ 12b

^{2}- 4ax - 12bx - 4a -4x -20 -12y = 0

I don't know how to solve this for a and b or if I have mistaken something...

thanks