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Question

If the vertex of a parabola is (0,1) and its directrix is 2y=5, then its equation will be:

A
y2+6x=6
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B
y2+6y=6
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C
x2=6y+6
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D
x2+6y=1
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Solution

The correct option is D x2+6y=1
Equation of direction y=52
Equation of tangent of vertex y=1
(y1)=0
distance between vertex & direction =3
0x+2y5=0
(0,1)
0+252=32
equation of axis x=0
eqn of parabola x2=4(32)(y1)
x2=6(y1)
x2+6y=6

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