IIT-JEE 2009 Paper 2 Offline | JEE Advanced Year Wise Previous Years Questions

IIT-JEE 2009 Paper 2 Offline

MCQ (Single Correct Answer)

-1

If the sum of first $$n$$ terms of an A.P. is $$c{n^2}$$, then the sum of squares of these $$n$$ terms is

$${{n\left( {4{n^2} - 1} \right){c^2}} \over 6}$$

$${{n\left( {4{n^2} + 1} \right){c^2}} \over 3}$$

$${{n\left( {4{n^2} - 1} \right){c^2}} \over 3}$$

$${{n\left( {4{n^2} + 1} \right){c^2}} \over 6}$$

IIT-JEE 2009 Paper 2 Offline

Numerical

-1

The centres of two circles $${C_1}$$ and $${C_2}$$ each of unit radius are at a distance of 6 units from each other. Let P be the mid point of the line segement joining the centres of $${C_1}$$ and $${C_2}$$ and C a circle touching circles $${C_1}$$ and $${C_2}$$ externally. If a common tangent to $${C_1}$$ and passing through P is also a common tangent to $${C_2}$$ and C, then the radius of the circle C is

Your input ____

IIT-JEE 2009 Paper 2 Offline

MCQ (Single Correct Answer)

-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

$$\left( { \pm {{3\sqrt 5 } \over 2},\, \pm {2 \over 7}} \right)$$

$$\left( { \pm {{3\sqrt 5 } \over 2},\, \pm \sqrt {{{19} \over 4}} } \right)$$

$$\left( { \pm 2\sqrt 3 , \pm {1 \over 7}} \right)$$

$$\left( { \pm 2\sqrt 3 , \pm {{4\sqrt 3 } \over 7}} \right)$$

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 $$(a, 0)$$

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