line L:y=mx+3 meets y–axis at E(0, 3) and the are of the parabola `y^(2)=16x, 0leyle6` at the point `F(x_(0),y_(0))`. The tangent to the parabola at `F(x_(0),y_(0))` intersects the y-axis at `G(0,y_(1))`. The slope m of the L is chosen such that the area of the triangle EFG has a local maximum.
Match List I with List II and select the correct answer using the code given below the lists :

Options

A. `{:(P,Q,R,S),(4,1,2,3):}`
B. `{:(P,Q,R,S),(3,4,1,2):}`
C. `{:(P,Q,R,S),(1,3,2,4):}`
D. `{:(P,Q,R,S),(1,3,4,2):}`

Answer

A