# GATE2012-65

A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y = 2x -0.1x^2$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is

1. 8 meters
2. 10 meters
3. 12 meters
4. 14 meters

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