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BITSAT2015MathematicsEllipseActual

The eccentricity 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:

Options

  1. A4 x²+3 y²=1
  2. B3 x²+4 y²=12
  3. C4 x²+3 y²=12
  4. D3 x²+4 y²=1

Correct answer

B. 3 x²+4 y²=12

Step-by-step solution

e = 1 2 . Directrix , x = a e =4 a =4 1 2 =2 b =2 1- 1 4 = 3 Equation of ellispe is x² 4 + y² 3 =1 3 x²+4 y²=12

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