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A coplanar beam of ligth emerging from a...

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 eccentricity of the ellipse of is equal to

A

`(1)/(3)`

B

`(1)/(sqrt(3))`

C

`(2)/(3)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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