IIT-JEE Exam

Let f be a function defined on R (the set of all real numbers) such that f(x) = 2010 (x - 2009)^1 (x - 2010)^2(x - 2011)^3 (x - 2012)^4, for all x (R). If g is a function defined on R with values in the interval (0,0) such that f (x) = ln (g (x)), for all x R, then the number of points in R at which g has a local maximum is

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IIT-JEE Other Question

Let S = {1, 2, 3, 4}. The total number of unordered pairs of disjoint subsets of S is equal to
option
a) 42
b) 41
c) 25
d) 34 Two parallel chords of a circle of radius 2 are at a distance 3+1 apart. If the chords subtend at the centre, angles of ki and 2 ki, where k > 0, then the value of [k] is [Note : [k] denotes the largest integer less than or equal to k].