The parabola y2=x divides the circle x2+y2=2 into two parts whose areas are in the ratio
Held on 7 May 2012 · Verified 6 Jul 2026.
9π+2:3π−2
9π−2:3π+2
7π−2:2π−3
7π+2:3π+2
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Let $f: [1, \infty) \rightarrow \mathbf{R}$ be a differentiable function defined as $f(x) = \int_1^x f(t)\,dt + (1-x)(\log_e x - 1) + e$. Then the value of $f(f(1))$ is :
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