JEE Advanced Mathematics question
In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) If be a bijective, where , then is (ii) The domain of is (iii) The interval in which is monotonic increasing is (iv) has a real root lying in Column II: (a) (b) (c) (d)
Answer: (2)
Solution
**(i)** is strictly increasing on with , so its range is . A bijection must have → **(b)**. - **(ii)** We need (strictly, since is in the denominator) and . So , i.e. → **(a)**. - **(iii)**
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