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If the equation of any two diagonals o...

If the equation of any two diagonals of a regular pentagon belongs to the family of lines `(1+2lambda)y-(2+lambda)x+1-lambda=0` and their lengths are sin `36^0` , then the locus of the center of circle circumscribing the given pentagon (the triangles formed by these diagonals with the sides of pentagon have no side common) is
(a) `x^2+y^2-2x-2y+1+sin^2 72^0=0`
(b) `x^2+y^2-2x-2y+cos^2 72^0=0`
(c) `x^2+y^2-2x-2y+1+cos^2 72^0=0`
(d) `x^2+y^2-2x-2y+sin^2 72^0=0`

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