An ellipse is drawn by taking a diameter of the circle ( x − 1 ) 2 + y 2 = 1 as its semiminor axis and a diameter of the circle x 2 + ( y − 2 ) 2 = 4 as its semi-major axis. If the centre of the ellip

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An ellipse is drawn by taking a diameter of the circle ( x − 1 ) 2 + y 2 = 1 as its semiminor axis and a diameter of the circle x 2 + ( y − 2 ) 2 = 4 as its semi-major axis. If the centre of the ellipse is the origin and its axes are the coordinate axes, then the equation of the ellipse is

TestHub · Accepted Answer

Semi minor axis b = 2 Semi major axis a = 4 Equation of ellipse = a 2 x 2 ​ + b 2 y 2 ​ = 1 ⇒ 16 x 2 ​ + 4 y 2 ​ = 1 ⇒ x 2 + 4 y 2 = 16 .

Mathematics - Ellipse Question with Solution | TestHub

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