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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