AIEEE 2008 | Ellipse Question 81 | Mathematics

A focus of an ellipse is at the origin. The directrix is the line $$x=4$$ and the eccentricity is $${{1 \over 2}}$$. Then the length of the semi-major axis is :

$${{8 \over 3}}$$

$${{2 \over 3}}$$

$${{4 \over 3}}$$

$${{5 \over 3}}$$

AIEEE 2006

MCQ (Single Correct Answer)

-1

In the ellipse, the distance between its foci is $$6$$ and minor axis is $$8$$. Then its eccentricity is :

$${3 \over 5}$$

$${1 \over 2}$$

$${4 \over 5}$$

$${1 \over {\sqrt 5 }}$$

AIEEE 2005

MCQ (Single Correct Answer)

-1

An ellipse has $$OB$$ as semi minor axis, $$F$$ and $$F$$' its focii and theangle $$FBF$$' is a right angle. Then the eccentricity of the ellipse is :

$${1 \over {\sqrt 2 }}$$

$${1 \over 2}$$

$${1 \over 4}$$

$${1 \over {\sqrt 3 }}$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

The eccentricity of an ellipse, with its centre at the origin, is $${1 \over 2}$$. If one of the directrices is $$x=4$$, then the equation of the ellipse is :

$$4{x^2} + 3{y^2} = 1$$

$$3{x^2} + 4{y^2} = 12$$

$$4{x^2} + 3{y^2} = 12$$

$$3{x^2} + 4{y^2} = 1$$

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