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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
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$x^2+4 y^2=16$
$x^2+4 y^2=16$
Semi minor axis $b=2$
Semi major axis $a=4$
Equation of ellipse $=\frac{x^2}{a^2}+\frac{y^2}{b^2}=1 \quad \Rightarrow \frac{x^2}{16}+\frac{y^2}{4}=1$
$\Rightarrow x^2+4 y^2=16$.
Semi major axis $a=4$
Equation of ellipse $=\frac{x^2}{a^2}+\frac{y^2}{b^2}=1 \quad \Rightarrow \frac{x^2}{16}+\frac{y^2}{4}=1$
$\Rightarrow x^2+4 y^2=16$.
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