Explanation The equation of the first ellipse is: 4 x 2 + y 2 = 4 (1) And the equation of the second ellipse is: 4 x 2 + 9 y 2 = 36 (2) Here need to find the values of x and y . Subtract equation (2) from the equation (1) as, ( 4 x 2 + y 2 ) − ( 4 x 2 + 9 y 2 ) = 4 − 36 y 2 − 9 y 2 = − 32 − 8 y 2 = − 32 y 2 = 4 Thus, the values of y = 2 and y = − 2 . Substitute y = 2 in equation (1), the corresponding value of x , 4 x 2 + 2 2 = 4 4 x 2 = 4 − 4 x 2 = 0 x = 0 Thus, the first point of intersection of the pair of ellipse is ( 0 , 2 )

Bundle: College Algebra, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's College Algebra, 7th Edition, Single-Term

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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 11.2, Problem 57E

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To find: The intersecting points of the pair of ellipses 4x2+y2=4 and 4x2+9y2=36 , then sketch the graphs of each pair of equations on the same coordinate axes, and level the points of intersection.

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Chapter 11.2, Problem 56E

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Bundle: College Algebra, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's College Algebra, 7th Edition, Single-Term

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The intersecting points of the pair of ellipses 4 x 2 + y 2 = 4 and 4 x 2 + 9 y 2 = 36 , then sketch the graphs of each pair of equations on the same coordinate axes, and level the points of intersection.

Solution Summary: The author explains how to find the intersecting points of the pair of ellipses 4x2+y2.

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To find: The intersecting points of the pair of ellipses 4x2+y2=4 and 4x2+9y2=36 , then sketch the graphs of each pair of equations on the same coordinate axes, and level the points of intersection.

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Chapter 11 Solutions