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Co - ordinate Geometry Parabola

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Equation of the parabola whose directrix is y=2x-9 and focus (–8, –2) is

A. x² + 4y² + 4xy + 16x + 2y + 259 = 0

B. x² + 4y² + 4xy + 116x + 2y + 259 = 0

C. x² + y² + 4xy + 116x + 2y + 259 = 0

D. x² + y² + 4xy + 16x + 2y + 259 = 0

E. None of the above

View Answer

Correct choice: B

Explanation:

Let any point on it be (x, y), then from definition of parabola, we get

Squaring and after simplification, we get x² + 4y² + 4xy + 116x + 2y + 259 = 0

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Eamcet Mathematics Co - ordinate Geometry Parabola

Eamcet Mathematics
Co - ordinate Geometry Parabola