Correct Answer - `23.0`
Let tangent of ellipse is `y=mx pm sqrt(4m^(2)+1/2)`
It is also tangent to circle Hence `|sqrt(4m^(2)+1/2)/sqrt(m^(2)+1)|=1`
`implies 4m^(2)+1/2 = m^(2)+1 implies 3m^(2) =1/2`
`implies m^(2) =1/6 implies m = pm 1/sqrt(6) implies a=1, b=6`
