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The eccentiicity of an ellipse with its centre at the origin, is 1/2. If one of the directrices is x = 4, then

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The eccentiicity of an ellipse with its centre at the origin, is 1/2. If one of the directrices is x = 4, then the equation of the ellipse is 

(a) 3x2 + 4y2 = 1

(b) 3x2 + 4y2 = 12

(c) 4x2 + 3y2 = 12

(d) 4x2 + 3y2 = 1

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1 Answer

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Best answer

Correct Option (b) 3x2 + 4y2 = 12

Explanation:

Since, equation of directrix is x = 4,then major axis of an ellipse is along X-axis

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