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

Posted by Amit Goyal on Apr 08, 2010; 2:25am
URL: http://discussion-forum.276.s1.nabble.com/Sample-Questions-of-ISI-ME-I-Mathematics-2010-Discussion-tp4850019p4868771.html

Ok, Next three now:
The number of real solutions of the equation sq(x) − 5|x| + 4 = 0 is
(a) two,
(b) three,
(c) four.
(d) None of these.

Range of the function f(x) = sq(x)/1+sq(x) is
(a) [0, 1),
(b) (0, 1),
(c) [0, 1].
(d) (0, 1].

If a, b, c are in AP, then the value of the determinant
|x + 2; x + 3; x + 2a|
|x + 3; x + 4; x + 2b|
|x + 4; x + 5; x + 2c|
is
(a) sq(b) − 4ac,
(b) ab + bc + ca,
(c) 2b − a − c,
(d) 3b + a + c.