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Let y= p(x) be the parabola passing thro...

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+(y-1)^2 le 1, y le p(x)}` is A, then `12(pi-4A)` is equal to _______

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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