A coplanar beam of ligth emerging from a point source has the equation `lambdax-y+2(1+alambda)-0, lambda in R.` The rays of the beam strike an elliptical surface and get reflected. The reflected rays form another convergent beam having eqution `mux-y+2(1-mu)=0, mu in R`. Further, it is found that the foot of the perpendicular from the point (2,2) upon any tangent to the ellipse lies on the circle `x^(2)+y^(2)-4y-5=0`
The area of the largest triangle that na incident ray and the corresponding reflected rat can enclose with the axis of the ellipse is equal to
A. `4sqrt(5)`
B. `2sqrt(5)~
C. `sqrt(5)`
D. none of these
