Statement I : The range of the function f(x)=sin[x]πx2+x+1 is {0}Statement II : The range of the functionf(x)=x−[x]1+x−[x] is 0,12.

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only I is true

only II is true

both I and II are true

neither I nor II are true

answer is C.

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Detailed Solution

statement 1:step function always integer⇒sinπx=0statement 2: x1+x=y⇒x=y1-y 0≤x<1⇒y(1-y)≥0,y1-y≤1

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