- An ellipse is drawn by taking a diameter of the circle (x - 1)2 + y2 = 1 x as its semi-minor-axis and a diameter of the circle x2 + (y - 2)2 = 4 is semi- major-axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is
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An ellipse is drawn by taking a diameter of the circle (x−1)
2
+y
2
=1 as its semi-minor axis and a diameter of the circle x
2
+(y−2)
2
=4 is semi-major axis.If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is
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Correct option is D)
(x−1)
2
+y
2
=1
Radius =1
Diameter=2
b=2
x
2
+(y−2)
2
=4
Radius=
4
=2
Diameter=4
a=4
a
2
x
2
+
b
2
y
2
=1 is the equation of ellipse
4
2
x
2
+
2
2
y
2
=1
16
x
2
+
4
y
2
=1
x
2
+4y
2
=16.
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