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Let lines L(1):y+6=m(1)(x+4) and L(2):y+...

Let lines `L_(1):y+6=m_(1)(x+4) and L_(2):y+6=m_(2)(x+4)` touching parabola `y^(2)=4ax(a>0)` at points A and B respectively where A lies in 1 quadrant and `(1)/(m_(1))+(1)/(m_(2))=-(3)/(2)` then
(A) Length of latus rectum of parabola is 12 (B) `L_(1)` and `L_(2)` are perpendicular
(C) `m_(1)>|m_(2)|" "` (D) Slope of normal at point B on parabola is 2

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