Re: Sample Questions of ISI ME I (Mathematics) 2010 Discussion

Posted by Amit Goyal on May 01, 2010; 4:50pm
URL: http://discussion-forum.276.s1.nabble.com/Sample-Questions-of-ISI-ME-I-Mathematics-2010-Discussion-tp4850019p4990544.html

Well done Priyanka. So we have:
If f is a real valued function and af(x) + cf(−x) = b − dx for all x with a ≠ c and d ≠ 0. Then f(b/d) equals
(b) - (2bc/(sq(a) - sq(c)))

For all x, y ∈ (0, ∞), a function f: (0, ∞) --> R satisfies the inequality
|f(x) - f(y)| ≤ cube(|x - y|). Then f is
(c) a constant function