1.

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

Answer»

`4sqrt(5)`
`2sqrt(5)~
`SQRT(5)`
NONE of these

Solution :Required AREA `=(1)/(2)(2ae)(b)=3xx(2)/(3)xxsqrt(5)=2sqrt(5)`


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