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From a point P on the normal y=x+c of th...

From a point `P` on the normal `y=x+c` of the circle `x^2+y^2-2x-4y+5-lambda^2-0,` two tangents are drawn to the same circle touching it at point `Ba n dC` . If the area of quadrilateral `O B P C` (where `O` is the center of the circle) is 36 sq. units, find the possible values of `lambdadot` It is given that point `P` is at distance `|lambda|(sqrt(2)-1)` from the circle.

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