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Question: Choose an equation for the ellipse shown.



A ) 4x2 + y2 = 4
B ) x2 + 2y2 = 2
C ) 2x2 + y2 = 2
D ) x2 + 4y2 = 4

Steps to derive

1 For the given ellipse, major axis is x - axis and minor axis is y - axis.

2 Center of the ellipse = (0, 0)

3 Length of the semi major axis, the length of the semi minor axis of the ellipse are a = 2 and b = 1.

4 So, the equation of the ellipse is x2a2+y2b2 = 1 (or) x24+y21 = 1 ⇒ x2 + 4y2 = 4.



Hence the right answer is Option D

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