EllipseHard
Question
An ellipse is drawn by taking a diameter of thecircle (x - 1)2 + y2 = 1 as its semi-minor axisand a diameter of the circle x2 + (y - 2)2 = 4as its semi-major axis. If the centre of the ellipseis at the origin and its axes are the coordinateaxes, then the equation of the ellipse is :
Options
A.x2 + 4y2 = 16
B.4x2 + y2 = 4
C.x2 + 4y2 = 8
D.4x2 + y2 = 8
Solution
Let the equation of ellipse be
from the given conditions
a = 4 and b = 2∴ Eq of ellipse is
or x2 + 4y2 = 16
from the given conditions
a = 4 and b = 2∴ Eq of ellipse is
or x2 + 4y2 = 16
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