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) Let and , where are positive numbers. The value of is (ii) The total number of ways of selecting an odd number of things from different things is 1024. Then is (iii) If for then the number of values of the pair is (iv) attains its maximum and minimum at and , respectively. Then equals Column II: (a) (b) (c) (d)

• (1)(i)-(d), (ii)-(d), (iii)-(a), (iv)-(c)
• (2)(i)-(d), (ii)-(a), (iii)-(d), (iv)-(c)Correct
• (3)(i)-(a), (ii)-(d), (iii)-(d), (iv)-(c)
• (4)(i)-(d), (ii)-(c), (iii)-(d), (iv)-(a)