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Moderate

Equation of a Conic 2

ACTMAT-NEEKJY

An ellipse, whose center is at the origin, has a major axis - which is parallel to the x-axis - that is 10 units long, and whose minor axis is 4 units long. The ellipse is then translated 3 units to the right and 2 units down.

Which of the following represents the equation of the ellipse after the translation?

A

$ \cfrac { { (x-3) }^{ 2 } }{ 16 } +\cfrac { { (y+2) }^{ 2 } }{ 100 } =1 $

B

$ \cfrac { { (x-3) }^{ 2 } }{ 100 } +\cfrac { { (y+2) }^{ 2 } }{ 16 } =1 $

C

$ \cfrac { { (x+3) }^{ 2 } }{ 4 } +\cfrac { { (y-2) }^{ 2 } }{ 25 } =1 $

D

$ \cfrac { { (x-3) }^{ 2 } }{ 4 } +\cfrac { { (y+2) }^{ 2 } }{ 25 } =1 $

E

$ \cfrac { { (x-3) }^{ 2 } }{ 25 } +\cfrac { { (y+2) }^{ 2 } }{ 4 } =1 $