Consider the following statements : Statement 1 : The function f:IR\toIR such that f(x)=x^3 for all x∊IR is one - one Statement 2 : f(a)=f(b)\Rightarrowa=b for all a,b∊IR if the function f is one -one Which one of the following is correct in respect of he above statements? [NDA II 2015]

Correct Answer is : Both statements are true and statement 2 is the correct explanation of statement 1

Both statements are true and statement 2 is the correct explanation of statement 1

Both statements are true and statement 2 is not correct explanation of statement 1

Statement 1 is true but statement 2 is false

Statement 1 is false but statement 2 is true

UPSC NDA II 2015 Mathematics Solved Paper

Question : 87 of 120

Marks: +1, -0

Consider the following statements :
Statement 1 : The function f:IR→IR such that f(x)=x3 for all x∊IR is one - one
Statement 2 : f(a)=f(b)⇒a=b for all a,b∊IR if the function f is one -one
Which one of the following is correct in respect of he above statements?

[NDA II 2015]

Both statements are true and statement 2 is the correct explanation of statement 1
Both statements are true and statement 2 is not correct explanation of statement 1
Statement 1 is true but statement 2 is false
Statement 1 is false but statement 2 is true

Validate

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