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UPSC CDS Math Circle Questions

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Question : 12

Total: 46

A region of area A bounded by a circle C is divided into n regions, each of area A/n, by drawing circles of radii r1,r2,r3...rn−1 such that r1<r2<r3<rn−1 concentric with the circle C. If pm=

where m=1,2,3,..(n-2), then which one of the following is correct ?

p increases as m increases
p decreases as m increases
p remains constant as m increases
p increases for some values of m as m increases and then decreases thereafter

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