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Question

An ellipse is drawn by taking a diameter of the circle (x1)2+y2=1 as its semi-minor-axis and a diameter of the circle x2+(y2)2=4 is semi-major axis. If the centre of the ellipse is at origin and its axes are the coordinate axes, then the equation of the ellipse is

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Solution

Given semi minor axis is diameter of (x1)2+y2=1 so, a=1×2=2

Semi major axis is diameter of x2+(y2)2=4, so, b=2×2=4

Equation of ellipse is x2a2+y2b2=1 i.e, x24+y216=1 (since centre is at origin).

1024962_1056789_ans_935aa9d7b5f849f688bfc4d2476acda7.PNG

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