Freeflows
Circle Reflection Equation
If each point of the circle $ x^2 + y^2 = 25 $ is reflected in the point $ (4,1), $ the set of image points satisfies the equation \[x^2 + ay^2 + bx + cy + d = 0.\]Compute the ordered quadruple $ (a,b,c,d) $ of real numbers.
- 1
- 2
- 3
- +
- 4
- 5
- 6
- -
- 7
- 8
- 9
- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$