JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

*(In (iii) the book prints for the third vector, which is the same as .)* Column I: (i) If then the maximum value of is (ii) If the greatest coefficient in the expansion of is then the value of is (iii) If and then is (iv) Let for and for ; then the greatest value of is Column II: (a) (b) (c) (d)

Answer: (1)

Solution

**(i)** . So . Equality holds at : and → **(c)**. - **(ii)** . The greatest coefficient of is the middle one, . So must be a middle coefficient, which holds for

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Question ID VK-110285