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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 triangle EFG has a local maximum. Match List-I with List-II and select the correct answer using the code given below the lists : List-I List-II (P) m = (1) 2 1 (Q) Maximum area of Δ EFG is (2) 4 (R) y 0 = (3) 2 (S) y 1 = (4) 1 Codes : P Q R S

1. 4 1 2 3
2. 3 4 1 2
3. 1 3 2 4
4. 1 3 4 2

Correct answer: 4 1 2 3

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