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Question

Consider a parabola y=x24 and the point F(0,1). Let A1(x1,y1),A2(x2,y2),A3(x3,y3),...,Ak(xk,yk) are 'n' points on parabola such as xk>0 and OFAk=kπ2n,(k=1,2,3,...,n). Then the value of limn1nnk=1FAk is

A
2π
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B
4π
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C
8π
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D
16π
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