Question 57

A line L : y = mx + 3 meets y-axis at E(0, 3) and the arc of the parabola $$y^2 = 16 x, 0 \leq y \leq 6$$ 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 line L is chosen such that the area of the triangle EFG has a local maximum.
Match List I and List II and select the correct answer using the code given below the lists:

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