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The numbers of possible continuous `f(x)` defined in `[0,1]` for which `I_1=int_0^1f(x)dx=1,I_2=int_0^1xf(x)dx-a ,I_3=int_0^1x^2f(x)dx=a^2 is//are` 1 (b) `oo` (c) 2 (d) 0

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The numbers of possible continuous f(x) defined in [0,1] for which I_1=int_0^1f(x)dx=1,I_2=int_0^1xf(x)dx-a ,I_3=int_0^1x^2f(x)dx=a^2i s//a r e 1 (b) oo (c) 2 (d) 0

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