Find the Foci of the Ellipse $\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 9 } = 1$

question 6

Multiple Choice

Find the foci of the ellipse. $\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 9 } = 1$

• A) \(( 0 , \sqrt { 40 } )\)
• B) \(( \sqrt { 40 } , 0 ) , ( - \sqrt { 40 } , 0 )\)
• C) \(( \sqrt { 58 } , 0 )\)
• D) \(( 0 , \sqrt { 40 } ) , ( - \sqrt { 40 } , 0 )\)
• E) \(( 0 , - \sqrt { 58 } ) , ( 0 , \sqrt { 58 } )\)

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Definitions:

Hyperopia

A common vision condition, also known as farsightedness, where distant objects are seen more clearly than near objects.

Glaucoma

A group of eye conditions that damage the optic nerve, often associated with abnormally high pressure in the eye, leading to vision loss.

Intraocular Pressure

The fluid pressure within the eye, essential for maintaining the eye’s shape and optimal optical properties but can lead to glaucoma if elevated.

Glaucoma

A group of eye conditions that can cause blindness due to damage to the optic nerve, often associated with high intraocular pressure.