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) is equal to (ii) If is an even function then is equal to (iii) If then equals (iv) The value of for which the area bounded by the parabolas and is the maximum is Column II: (a) (b) (c) (d)
Answer: (1)
Solution
**(i)** Use : then . Adding the two forms, , so → **(a)**. - **(ii)** If is even, then is odd and is even. So both and are odd and integrate to over . What
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