Statement 1 A If f 0 0 and then f x is positive for all x Statement 2 R f x is increasing ...........

Statement 1 (A) : If f(0) = 0 and $f(x) = log(x+\sqrt{1+x^{2}})$ , then f(x) is positive for all x.

Statement 2 (R) : f(x) is increasing for x > 0 and decreasing for x < 0.

Statement 1 is true, statement 2 is true; statement 2 is a 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

Statement 1 is false (since f(x) is not positive for all x), Statement 2 is true ( As f(x) is increasing for x > 0 and decreasing for x< 0.

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