1.

A coplanar beam of light emerging from a point surce have the equation lambda x-y+2(1+lambda)-0, AA lambda in R : the rays of beam strike an elliptical surface and get reflected inside the ellipse. The reflected rays form another convergent beam having the equation mu x-y+2(1-mu)=0, AA 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 circlex^(2)+y^(2)-4y-5=0 Q. The area of the largest that an incident ray and corresponding reflected ray can enclose with the major axis of the ellipse is equal to :

Answer»

`4sqrt(5)`
`SQRT(5)`
`3sqrt(5)`
`2sqrt(5)`

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