1.

A set of lines x+y-2+lambda_(1)(2x+y-3)=0 represents incident rays on ellipse S=0 and 2x+3y-23+lambda_(2)=0 represents the set of refelction rays from the ellipse where lambda_(1), lambda_(2) in R. If P(3,7) is a point on the ellipse normal at which meets the major axis at N.

Answer»

Elecentriciy of ELLIPSE is `SQRT((5)/(2sqrt(5)+1))`
N divides line segment JOINING two foci in the ratio `2 sqrt(2):1`
Area of triangle formed by point P and two foci 5
Elecentricity of ellips is `(sqrt(5))/(2sqrt(2)+1)`

Answer :A::B::C


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