IIT-JEE 2008 Paper 1 Offline

MCQ (More than One Correct Answer)

-2

Let $$P\left( {{x_1},{y_1}} \right)$$ and $$Q\left( {{x_2},{y_2}} \right),{y_1} < 0,{y_2} < 0,$$ be the end points of the latus rectum of the ellipse $${x^2} + 4{y^2} = 4.$$ The equations of parabolas with latus rectum $$PQ$$ are :

$${x^2} + 2\sqrt 3y = 3 + \sqrt 3 $$

$${x^2} - 2\sqrt 3y = 3 + \sqrt 3 $$

$${x^2} + 2\sqrt 3y = 3 - \sqrt 3 $$

$${x^2} - 2\sqrt 3 y = 3 - \sqrt 3 $$

IIT-JEE 1999

MCQ (More than One Correct Answer)

-0.75

On the ellipse $$4{x^2} + 9{y^2} = 1,$$ the points at which the tangents are parallel to the line $$8x = 9y$$ are

$$\left( {{2 \over 5},{1 \over 5}} \right)$$

$$\left( -{{2 \over 5},{1 \over 5}} \right)$$

$$\left( -{{2 \over 5},-{1 \over 5}} \right)$$

$$\left( {{2 \over 5},-{1 \over 5}} \right)$$

JEE Advanced Subjects