IIT JEE Mathematics - Model Problems

KNOWLEDGE QUESTION AND ANSWER BOARD http://knol.google.com/k/narayana-rao-kvss/-/2utb2lsm2k7a/654#

Problems that require concepts from two or more chapters The radius of the circle passing through the foci of the ellipse x²/16 + y²/9 = 1...

1. The coefficient of x 4 in [(x/2)- (3/x²)] 10 is a. 405/256 b. 504/259 c. 450/263 d. none of these (JEE 1983) 2. Let n be a positive int...

If log 0.3 (x-1) 0.09 (x-1), then x lies in the interval: a.(2,∞) b. (1,2) c. (-2,-1) d. none of these (JEE 1983) Answer (a) ...

Problems with complexity 1. The set of lines ax+by+c = 0 where a,b,c satisfy the relation 3a+2b+4c = 0 is concurrent at the point ----------...

1. Find the focus, directrix, and vertex for the parabola x² = -16y For x² = 4ay Focus is (0,a), directrix is y = -a, and vertex is (0,0) Wr...

1. Find the following properties of hyperbola for the given equation (i) Points where hyperbola intersects the x-axis (ii) eccentricity (iii...