If (0,6)and (0,3) are respectively the vertex and focus of a parabola, then its equation is |
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a) |
b) |
c) |
d) |

If (0,6)and (0,3) are respectively the vertex and focus of a parabola, then its equation is |
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a) |
b) |
c) |
d) |

1 Answer - 5876 Votes

3537

**(a)**

Since, the focus and vertex of the parabola are on -axis, therefore its axis of the parabola is axis

Let the equation of the directrix be the directrix meets the axis of the parabola at . But vertex is the mid point of the line segment joining the focus to the point where directrix meets axis of the parabola

Thus, the equation of directrix is

Equation of parabola is