MAT - Conics Part 2

What's the equation of a circle  if the endpoints

of a diameter are (-2, -3) and (4, 5)?

(x -
)2 + (y -
)2 =

Find the equation of an ellipse if the major

axis is 8 units and the foci are  (2, 3) and (2, -3).

(x -
)2    +
2
=

Find the equation of a hyperbola with center

(4, 3), vertex (4, 7) and asymptote y-3=4/5(x-4).

(
-
)
2
-
(
-
)
2
= 1

Find the equation of the parabola  with

vertex (3, 0) and directrix x = -3

2
=
(
-
)

Find the equation of the parabola with

focus (0, 2) and directrix y = 0.

2
=
(
-
)
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