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IIT JEE 2006 Paper : MATHEMATICS Section II - Multiple Answers

Each question has one or more than one correct choice among (a), (b), (c) and (d). Write down all the correct choices in alphabetical order without any spaces in between.
For example, if the correct choices are (a), (b) and (d) then simply write in the input box provided:
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f (x) is a cubic polynomial having a local maxima at x = −1;   f (1) = −1,   f (2) = 18 and
f '(x) has a local minima at x = 0, then

(a)the distance between (−1, f(−1)) and (a, f (a)) is 2√2 where a is the point of local minima of f (x).
(b) f (x) is decreasing for x ∈ (1, 2√5).
(c) f (x) has a local minima at x = 1.
(d) f (0) = 5.


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