Explanation Given Information: The provided equation is x 2 10 + y 2 12 = 1 . Consider the equation, x 2 10 + y 2 12 = 1 Now, compare the equation x 2 10 + y 2 12 = 1 with the general form of equation of ellipse on vertical major axis ( x − h ) 2 b 2 + ( y − k ) 2 a 2 = 1 whose coordinates of the center are ( h , k ) end points at minor axis are ( h + b , k ) , ( h − b , k ) , end points at major axis are ( h , k + a ) , ( h , k − a ) , The ellipse is centered at ( h , k ) . Here, h = 0 , k = 0 Therefore, The ellipse is centered at ( 0 , 0 ) . Find a and b : Take the square roots of the denominators. a 2 = 12 a = 2 3 And, b 2 = 10 b = 10 Now, use a and b to plot the ends of the major and minor axis

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ISBN: 8220106960332

Author: Johnson

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 9.2, Problem 2MCR

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Whether the provided statement is true or not “_____the graph of x210+y212=1 is an ellipse with its center at the origin”.

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Chapter 9.2, Problem 1MCR

Chapter 9.2, Problem 3MCR

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Ch. 9.1 - Prob. 1SR Ch. 9.1 - Prob. 2SR Ch. 9.1 - Prob. 1DE Ch. 9.1 - Prob. 2DE Ch. 9.1 - Prob. 1CCE Ch. 9.1 - Prob. 2CCE Ch. 9.1 - Prob. 3CCE Ch. 9.1 - Prob. 3DE Ch. 9.1 - Prob. 4DE Ch. 9.1 - Prob. 5DE

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Whether the provided statement is true or not “_____the graph of x 2 10 + y 2 12 = 1 is an ellipse with its center at the origin”.

Solution Summary: The author evaluates whether the provided statement is true or not, and compares the equation with the general form of equation of ellipse on vertical major axis.

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Whether the provided statement is true or not “_____the graph of x210+y212=1 is an ellipse with its center at the origin”.

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Chapter 9 Solutions