Parabola
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A line L : y = mx + 3 meets y - axis at E(0,3) and the arc of the parabola y2 = 16x, 0 ≤ y ≤ 6 at the point F(x0 , y0 ). The tangent to the parabola at F(x0 ,y0 ) intersects the y -axis at G(0, y1 ). 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 :
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. | |||
| Q. | Maximum area of ΔEFG is | 2. | 4 | ||
| R. | 3. | 2 | |||
| S. | 4. | 1 | |||
[JEE Adv 2013 P2]
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