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Statement 1: Minimum number of points of...

Statement 1: Minimum number of points of discontinuity of the function `f(x)=(g(x)[2x-1]AAx in (-3,-1)` , where [.] denotes the greatest integer function and `g(x)=a x^3+x^2+1` is zero. Statement 2: `f(x)` can be continuous at a point of discontinuity, say `x=c_1` of `[2x-1] `if `g(c_1)=0.`

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Statement 1: Minimum number of points of discontinuity of the function f(x)=(g(x)[2x-1]AAx in (-3,-1) , where [.] denotes the greatest integer function and g(x)=a x^3=x^2+1 is zero. Statement 2: f(x) can be continuous at a point of discontinuity, say x=c_1of[2x-1]ifg(c_1)=0. Statement 1 is True, Statement 2 is True, Statement 2 isa correct explanation for Statement 1. Statement 1 is True, Statement 2 is True, Statement 2 is NOT a correct explanation for statement 1. Statement 1 is True, Statement 2 is False Statement 1 is False, Statement 2 is True.

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