Consider the following statements : Statement I : x> x for all x>0 Statement II : f(x)=x- x is an increasing function for all x>0 Which one of the following is correct in respect of the above statements?

NDA 2017 Mathematics question

Mathematics Application of Derivatives NDA 2017

Consider the following statements : Statement I : for all Statement II : is an increasing function for all Which one of the following is correct in respect of the above statements?

(A)Both Statement I and Statement II are true and Statement II is the correct explanation of Statement ICorrect
(B)Both Statement I and Statement II are true and Statement II is not the correct explanation of Statement I
(C)Statement I is true but Statement II is false
(D)Statement I is false but Statement II is true

Answer: (A)

Solution

has (zero only at isolated points), so is increasing for ; Statement II is true. Since

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Question ID VK-028784