IIT-JEE 2009 Paper 2 Offline | Parabola Question 33 | Mathematics

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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

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

$$y=0$$

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

$$y = - 30x - 50$$

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