The conclusion about the values of e for rlliptical equations. The provided equations of conic sections are, A) frac{x^{2}}{36} - frac{y^{2}}{13}=1 B)

Tazmin Horton 2020-12-31 Answered

The conclusion about the values of e for rlliptical equations. The provided equations of conic sections are,

A) x236  y213=1

B) x24  y24=1

C) x225  y216=1

D) x225  y239=1

E) x217  y281=1

F) x236  y236=1

G) x216  y265=1

H) x2144  y2140=1

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Expert Answer

Clara Reese
Answered 2021-01-01 Author has 120 answers

Concept used: The general equation of an ellipse with center (0, 0) is, x2a2 + y2b2=1. The value of e for the above equation is e= cd Consider the equations of conic sections,

A) x236  y213=1

B) x24  y24=1

C) x225  y216=1

D) x225  y239=1

E) x217  y281=1

F) x236  y236=1

G) x216  y265=1

H) x2144  y2140=1

On comparing the above equations with the general form of an ellipse, the elliptical equations are (C), (E) and (H). The value of eccentricity e for the conic section of the equation x225 + y216=1 is e=0.6. The value of eccentricity e for the conic section of the equation x217 + y281=1 is e=0.89. The value of eccentricity e for the conic section of the equation x2144 + y2140=1 is e=0.33. Therefore, the value of e for elliptical equations lies between 0 and 1 i.e. 0 < e < 1.

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