IIT-JEE 2010 Paper 1 Offline

MCQ (More than One Correct Answer)

-1

Let $$A$$ and $$B$$ be two distinct points on the parabola $${y^2} = 4x$$. If the axis of the parabola touches a circle of radius $$r$$ having $$AB$$ as its diameter, then the slope of the line joining $$A$$ and $$B$$ can be

$$ - {1 \over r}$$

$$ {1 \over r}$$

$$ {2 \over r}$$

$$ - {2 \over r}$$

IIT-JEE 2009 Paper 2 Offline

MCQ (More than One Correct Answer)

-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

vertex is $$\left( {{{2a} \over 3},0} \right)$$

directrix is $$x=0$$

latus rectum is $${{{2a} \over 3}}$$

focus is $$(a, 0)$$

IIT-JEE 2006

MCQ (More than One Correct Answer)

-1.25

The equations of the common tangents to the parabola $$y = {x^2}$$ and $$y = - {\left( {x - 2} \right)^2}$$ is/are

$$y = 4\left( {x - 1} \right)$$

$$y=0$$

$$y = - 4\left( {x - 1} \right)$$

$$y = - 30x - 50$$

JEE Advanced Subjects