Explanation Definition used: Equation of an ellipse with center at ( 0 , 0 ) , and major axis along x-axis: “An equation of the ellipse with center at ( 0 , 0 ) , foci at ( ± c , 0 ) ( 0 , ± c ) , ends of the minor axis at ( 0 , ± b ) and vertices at ( ± a , 0 ) is x 2 a 2 + y 2 b 2 = 1 where a > b > 0 and b 2 = a 2 − c 2 .” Equation of an ellipse with center at ( 0 , 0 ) , and major axis along y-axis: “An equation of the ellipse with center at ( 0 , 0 ) , foci at ( 0 , ± c ) , ends of the minor axis at ( ± b , 0 ) and vertices at ( 0 , ± a ) is x 2 b 2 + y 2 a 2 = 1 where a > b > 0 and b 2 = a 2 − c 2 .” Calculation: The given equation of an ellipse is 9 x 2 + 4 y 2 = 36 . First rewrite the given equation in form of either x 2 a 2 + y 2 b 2 = 1 or x 2 b 2 + y 2 a 2 = 1 as follows

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ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 21, Problem 5RE

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Whether the statement “ The vertices of the ellipse 9x2+4y2=36 are (2,0) and (−2,0)” is true or false.

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Chapter 21, Problem 4RE

Chapter 21, Problem 6RE

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Whether the statement “ The vertices of the ellipse 9 x 2 + 4 y 2 = 36 are ( 2 , 0 ) and ( − 2 , 0 ) ” is true or false.

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Whether the statement “ The vertices of the ellipse 9x2+4y2=36 are (2,0) and (−2,0)” is true or false.

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Chapter 21 Solutions