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If the only point of inflection of the f...

If the only point of inflection of the function `f(x)-(x-a)^m(x-b)^n` , `m, n e N` and `m!=n` is at `x=a` then

A

(a,0), (b,0) are the only critical points of f

B

there are m+n critical points of f

C

there are exactly three critical points of f

D

none of these

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The correct Answer is:
C
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