Statement I: y=\tan ^{-1}(x^{-1})+1 is an increasing function of x. Statement II : \frac{d y}{d x} is positive for all values of x. Which one of the following is correct in respect of the above statements?

Correct Answer is : Both statements I and II are independently correct and statement II is the correct explanation of statement I

Both statements I and II are independently correct and statement II is the correct explanation of statement I

Both statements I and II are independently correct but statement II is not the correct explanation of statement I

Statement I is correct but statement II is false

Statement {\I} is false but statement {\II} is correct

UPSC NDA I 2010 Mathematics Paper

Question : 95 of 120

Marks: +1, -0

Statement I: y=tan−1(x−1)+1 is an increasing function of x.
Statement II : ‌

is positive for all values of x.
Which one of the following is correct in respect of the above statements?

Both statements I and II are independently correct and statement II is the correct explanation of statement I
Both statements I and II are independently correct but statement II is not the correct explanation of statement I
Statement I is correct but statement II is false
Statement I is false but statement II is correct

Go to Question:

Prev Question

Next Question