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 Prep Made Easy

Chapter-wise, Topic-wise, Paper-wise Previous Year Questions

Full Mock Tests

Personalized Mock Tests

Very Detailed Test Analysis

Save Important Questions

Set and Achieve Daily Goals

Start Free Trial

Plans start at ₹25 per month, and no payment information is required to try our trial.

Questions Asked from Ellipse (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2023 Paper 1 Online (1) JEE Advanced 2019 Paper 1 Offline (1) JEE Advanced 2018 Paper 2 Offline (1) JEE Advanced 2015 Paper 2 Offline (1) IIT-JEE 2009 Paper 2 Offline (1) IIT-JEE 2009 Paper 1 Offline (1) IIT-JEE 2008 Paper 1 Offline (1) IIT-JEE 1999 (1)

JEE Advanced Subjects