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An ellipse centered at the origin has a vertical major axis of 12 units and an eccentricity of 0.5.
What is the equation of the ellipse?

Sagot :

abidemiokin

The equation of the ellipse formed is x²/11.7² + y²/12² = 1

Equation of an ellipse

The formula for calculating the equation of an ellipse is expressed as;

x²/a² + y²/b² = 1

where

a and b are the minor an major axis respectively;

Given the following

b = 12

e = 0.5

Determine the value of a

e² = √b²-a²/b

0.5² = √12²-a²/12
12 * 0.25 = √144-a²

9 = 144 -  a²

a² = 136

a = 11.7

Substitute into the fomula

x²/11.7² + y²/12² = 1

Hence the equation of the ellipse formed is x²/11.7² + y²/12² = 1

Learn more on ellipse here: https://brainly.com/question/16904744

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