Equation of the circumcircle of a triangle formed by the lines `L_(1)=0,L_(2)=0andL_(3)=0` can be written as `L_(1)L_(2)+lamdaL_(2)L_(3)+muL_(3)L_(1)=0`, where `lamdaandmu` are such that coefficient of `x^(2)` =coefficient of `y^(2)` and coefficient of xy=0.
`L_(1)=0,L_(2)=0` be the distinct parallel lines which are not parallel to `L_(1)=0`. The equation of a circle passing through the vertices of the parallelogram formed must be of the form

Options

A. a curve passing through point of interesection of `L_(1)=0,L_(2)=0 andL_(3)=0`
B. a circle is coefficient of `x^(2)=` coefficient of `y^(2)` and coefficient of xy=0
C. a parabola
D. pair of straight lines

Answer

A