The locus of the image of the point `(2,3)` in the line `(x-2y+3)+lambda(2x-3y+4)=0` is`(lambda in R)` (a) `x^2+y^2-3x-4y-4=0` (b) `2x^2+3y^2+2x+4y-7=0` (c) `x^2+y^2-2x-4y+4=0` (d) none of these