Sr plz solve it If the focus of the parabola is (-2,-1) and the equation of directrix is x+y=3. Then the coordinates of vertex are:
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@Mannika
Focus of parabola is (-2,-1)
equation of Directrix = x + y = 3
vertex of the parabola is the mid-point of the line segment joining the focus to the intersection point of the axis and directrix
The equation of the axis is
as axis is perpendicular to directrix and axis is passing via (-2, -1)
Point D is the intersection of Directrix and Axis (1, 2)
Thus V can be calculated
V is the midpoint of S and D
Let (h , k) be vertex.
Then