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Question

Mathematics Question on Parabola

Let y = p(x) be the parabola passing through the points (–1, 0), (0, 1) and (1, 0). If the area of the region x,y):(x+1)2+(y1)21,yp(x)\\{x,y):(x+1)^2+(y-1)^2≤1,y≤p(x)\\} is A, then 12(π-4A) is equal to__.

Answer

The Answer is : 16