AIEEE 2006 | Conic Sections Question 244 | Mathematics

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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 2006

MCQ (Single Correct Answer)

-1

Angle between the tangents to the curve $$y = {x^2} - 5x + 6$$ at the points $$(2,0)$$ and $$(3,0)$$ is

$$\pi $$

$${\pi \over 2}$$

$${\pi \over 6}$$

$${\pi \over 4}$$

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 2005

MCQ (Single Correct Answer)

-1

Let $$P$$ be the point $$(1, 0)$$ and $$Q$$ a point on the parabola $${y^2} = 8x$$. The locus of mid point of $$PQ$$ is

$${y^2} - 4x + 2 = 0$$

$${y^2} + 4x + 2 = 0$$

$${x^2} + 4y + 2 = 0$$

$${x^2} - 4y + 2 = 0$$

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