Properties of Parabolas
Latus Rectum of Parabola: The latus rectum of a parabola is the chord that passes through the focus and is perpendicular to the axis of the parabola.
Focal Chord and Focal Distance:
Focal chord: Any chord passes through the focus of the parabola is a fixed chord of the parabola.
Focal Distance: The focal distance of any point p(x, y) on the parabola y2 = 4ax is the distance between point ‘p’ and focus.
PM = a + xPS = Focal distance = x + a
Focal Chord and Focal Distance:
Focal chord: Any chord passes through the focus of the parabola is a fixed chord of the parabola.Focal Distance: The focal distance of any point p(x, y) on the parabola y2 = 4ax is the distance between point ‘p’ and focus.PM = a + xPS = Focal distance = x + a