Equation of the ellipse whose axes are the axes of coordinates and which passes through the point ( − 3 , 1 ) and has eccentricity 5 2 is

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Equation of the ellipse whose axes are the axes of coordinates and which passes through the point ( − 3 , 1 ) and has eccentricity 5 2 ​ ​ is

TestHub · Accepted Answer

​ b 2 = a 2 ( 1 − e 2 ) = a 2 ( 1 − 5 2 ​ ) = a 2 5 3 ​ = 5 3 a 2 ​ a 2 x 2 ​ + b 2 y 2 ​ = 1 ⇒ a 2 9 ​ + 3 a 2 5 ​ = 1 a 2 = 3 32 ​ b 2 = 5 32 ​ ​ ∴ Required equation of ellipse 3 x 2 + 5 y 2 − 32 = 0

Mathematics - Ellipse Question with Solution | TestHub

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