Coordinate geometry after reflection

Geometry Level 5

If the reflection of the curve \(xy=1\) in the line \(y=2x\) is

\(ax^2+bxy+cy^2+dx+ey+f=0\),

Find value of \(\displaystyle{\left| a+b+c+d+e+f \right| }\)

Details and assumptions

\(\bullet \) Here a,b,c,d,e,f are co-prime integers.

Do see vector problem
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