1
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1

Let ABC and ABC' be two non-congruent triangles with sides AB = 4, AC = AC' = 2$$\sqrt2$$ and angle B = 30$$^\circ$$. The absolute value of the difference between the areas of these triangles is ___________.

Your input ____
2
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1

If the function $$f(x) = {x^3} + {e^{x/2}}$$ and $$g(x) = {f^{ - 1}}(x)$$, then the value of $$g'(1)$$ is _________.

Your input ____
3
IIT-JEE 2009 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
The tangent $$PT$$ and the normal $$PN$$ to the parabola $${y^2} = 4ax$$ at a point $$P$$ on it meet its axis at points $$T$$ and $$N$$, respectively. The locus of the centroid of the triangle $$PTN$$ is a parabola whose
A
vertex is $$\left( {{{2a} \over 3},0} \right)$$
B
directrix is $$x=0$$
C
latus rectum is $${{{2a} \over 3}}$$
D
focus is $$(a, 0)$$
4
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
The normal at a point $$P$$ on the ellipse $${x^2} + 4{y^2} = 16$$ meets the $$x$$- axis $$Q$$. If $$M$$ is the mid point of the line segment $$PQ$$, then the locus of $$M$$ intersects the latus rectums of the given ellipse at the points
A
$$\left( { \pm {{3\sqrt 5 } \over 2},\, \pm {2 \over 7}} \right)$$
B
$$\left( { \pm {{3\sqrt 5 } \over 2},\, \pm \sqrt {{{19} \over 4}} } \right)$$
C
$$\left( { \pm 2\sqrt 3 , \pm {1 \over 7}} \right)$$
D
$$\left( { \pm 2\sqrt 3 , \pm {{4\sqrt 3 } \over 7}} \right)$$

JEE Advanced Papers

All year-wise previous year question papers