How do you write an equation of an ellipse in standard form with centre at (-2,8) and a major axis (parallel to the x-axis) length of 12 units and a minor axis of 10 units?

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How do you write an equation of an ellipse in standard form with centre at (-2,8) and a major axis (parallel to the x-axis) length of 12 units and a minor axis of 10 units?

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Answer 1 · 2016-09-13T01:41:42

We know that the standard equation of an ellipse having coordinate of its center $(alpha,beta)$ , major axis parallel to x-axis and length of the semi-major axis and semi-minor axis as $a and b$ respectively ,is

$(x-alpha)^2/a^2+(y-beta)^2/b^2=1$

Inserting

$alpha=-2 and beta =8$

$a=12/2=6 and b=10/2=5$

we get the standard equation of the ellipse

$(x+2)^2/6^2+(y-8)^2/5^2=1$

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How do you write an equation of an ellipse in standard form with centre at (-2,8) and a major axis (parallel to the x-axis) length of 12 units and a minor axis of 10 units?

1 Answer

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