Determine the equation of the family of ellipses that have a common center O' (2, 3), a common focal axis parallel to the y-axis, and eccentricity equal to 1/2; plot the graph of the family of ellipses for three different values of the parameter.

Determine the equation of the family of ellipses that have a common center O' (2, 3), a common focal axis parallel to the y-axis, and eccentricity equal to 1/2; plot the graph of the family of ellipses for three different values of the parameter.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 35E

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SOLVE STEP BY STEP IN DIGITAL FORMAT

1. Determine the equation of the family of ellipses that have a common center O' (2, 3), a common focal axis parallel to the y-axis, and eccentricity equal to 1/2; plot the graph of the family of ellipses for three different values of the parameter.

2. The equation of a family of ellipses is 4x²+9y²+ ax + by - 11 = 0; determine the equation of the element of the family that passes through the points P (2, 3) and Q (95, 1).

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