Circles and Ellipses

Consider the graph of the ellipse drawn below.

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a

On which axis do the vertices lie?

$x$`x`-axis

A

$y$`y`-axis

B

$x$`x`-axis

A

$y$`y`-axis

B

b

On which axis do the co-vertices lie?

$x$`x`-axis

A

$y$`y`-axis

B

$x$`x`-axis

A

$y$`y`-axis

B

c

On which axis do the foci lie?

$x$`x`-axis

A

$y$`y`-axis

B

$x$`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

$x$`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

Approx a minute

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Apply the geometry of conic sections

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