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A line L:y=mx+3 meets y-axis at E(0,3) a...

A line L:y=mx+3 meets y-axis at E(0,3) and the arc of the parabola y 2 =16x,0≤y≤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 △EFG has a local maximum. Match List 1 with List 2 List 1 List 2 A. m= 1. 2 1 ​ B. Maximum area of ΔEFG is 2. 4 C. y 0 ​ = 3. 2 D. y 1 ​ = 4. 1

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