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Question

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


A

 
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B

 
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C
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D
None of these
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Solution

The correct option is B
 
Let any point on it be (x, y),  then from definition of parabola, we get (x+8)2+(y+2)22xy95=1
(Perpendicular distance from directrix is equalt to distance from focus ) 
Squaring and after simplification, we get
x2+4y2+4xy+116x+2y+259=0

Mathematics

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