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Comprehension- I A coplanar beam of ligh...

Comprehension- I A coplanar beam of light emerging from a point source have equation `lambda x-y+2(1+lambda)=0,lambda in R.` The rays of the beam strike an elliptical surface and get reflected. The reflected rays form another convergent beam having equation `mu x-y+2(1-mu)=0,mu in R.` 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 eccentricity of the ellipse is equal to

A

6

B

3

C

`sqrt(5)`

D

`2sqrt(5)`

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The correct Answer is:
A
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