What is the standard form of the equation of the parabola with a focus at (6,5) and a directrix of #y= -1#?
1 Answer
Aug 2, 2018
Parabola is
Explanation:
Parabola is the locus of a point which moves so that its distance from a given point called focus and a given line called directrix is always equal.
Let the point be
and its distance from directrix
Hence equation of parabola is
and squaring
i.e.
i.e.
or
or
graph{(x^2-12x+60-12y)((x-6)^2+(y-5)^2-0.03)(y+1)=0 [-4.08, 15.92, -1.32, 8.68]}