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The brand new orthoptic property from a great parabola is when two tangents to your parabola is actually perpendicular to each other, they intersect to the directrix. Away from a point for the tangent range to a parabola’s vertex, additional tangent line to your parabola are perpendicular for the line from that point from parabola’s attention. Inside a great parabola, the fresh axis from balance is actually perpendicular every single of your own latus anal area, the fresh directrix, as well as the tangent line in the section where the axis intersects the brand new parabola. The top axis away from a keen ellipse try perpendicular for the directrix and for each and every latus rectum. The whole squared lengths of any two perpendicular chords intersecting during the a given section is equivalent to compared to some other a few perpendicular chords intersecting at the same part, and that is given by 8r2 – 4p2 (in which roentgen is the circle’s radius and you may p ‘s the point regarding the focus to the point of intersection).