EllipseHard

Question

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

Options

A.5x2 + 3y2 - 48 = 0
B.3x2 + 5y2 - 15 = 0
C.5x2 + 3y2 - 32 = 0
D.3x2 + 5y2 - 32 = 0

Solution

b2 = a2 (1 - e2) = a2
       
       
∴ Required equation of ellipse 3x2 + 5y2 - 32 = 0

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