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India
Class XI

Identify Characteristics of Ellipses

Interactive practice questions

Consider the graph of the ellipse drawn below.

Loading Graph...
An ellipse is centered on a Cartesian coordinate plane. The horizontal axis is labeled 'x' and the vertical axis is labeled 'y'. The axes are marked with intervals and the numbering extends from -15 to 15 on both axes. The ellipse is oriented with its major axis vertical and minor axis horizontal, spanning the grid in such a manner that it appears elongated in the vertical direction.
a

On which axis do the vertices lie?

$x$x-axis

A

$y$y-axis

B
b

On which axis do the co-vertices lie?

$x$x-axis

A

$y$y-axis

B
c

On which axis do the foci lie?

$x$x-axis

A

$y$y-axis

B
d

On which axis do the foci lie for any ellipse centred at the origin?

$x$x-axis

A

$y$y-axis

B

Same axis that the vertices lie on.

C

Same axis that the co-vertices lie on.

D
Easy
1min

Consider the graph of the ellipse drawn below.

Easy
2min

Consider the graph of the ellipse drawn below.

Easy
2min
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Outcomes

11.CG.CS.1

Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

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