Consider the following statements :
Statement I :
`xgtsinx" for all "xgt0`
Statement II : `f(x)=xsinx` is an increasing function for all `xgt0`
Which one of the following is correct in respect of the above statements?

If xgt0 then which of the following is true

Consider the following statements : Statement I: The value of a random variable having the highest frequency is mode. Statement II: Mode is unique. Which one of the following is correct in respect of the above statements ?

Statement : y= -tan^(-1)(x^(-1))+1 is an increasing function of x Statement II : (dy)/(dx) is positive fo all values of x which one of the following is correct in respect of the above statements?

f(x)=log_(a)x(xgt0) is decreasing function if

If f f(x)=mux-sinx, xgt0 is a monotonic increasing function then -

Consider the following statements : Statement 1 : The function f:IRtoIR such that f(x)=x^(3)" for all "x""inIR is one-one. Statement 2 : f(a)impliesf(b)" for all "a,binIR if the function f is one-one. Which one of the following is correct in respect of the above statements ?

f(x)=(logx)/(x)(xgt0) is increasing in

Consider the following statements 1 f(x)=In x is an increasing funciton on (0,oo) 2 f(x) =e^(x)-x(In x) is an increasing function on (1,oo) Which of the above statement is / are correct ?

Consider the following statements : Statement I : Median can be computed even when the end intervals of a frequency distribution are open. Statement II : Median is a positional average. Which one of the following is correct in respect of the above statements ?