If `l,m` are variable real numbers such that `5l^2+6m^2 -4lm+3l=0` and the variable line `lx + my = 1` always touches a fixed parabola `P(x,y) = 0` whose axis parallel to x-axis , then A) vertex of P(x,y) is (-5/3, 4/3) B) Latus Rectum is equal to 4 C) Directrix of P(x,y) is parallel to y-axis (D) AB is a focal chord of P(x,y) =0 then `1/(SA)+1/(SB)=1/2` where S is the focus
A. `(-5//3,4//3)`
B. `(-7//4,3//4)`
C. `(-7//4,3//4)`
D. `(1//2,-3//4)`