Properties of Parabolas

[size=150]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.[/size][img width=750,height=322]https://cdn1.byjus.com/wp-content/uploads/2020/11/ParabolaArtboard-1-copy-2-8.png[/img][br][br]F[size=150]ocal Chord and Focal Distance:[br][b]Focal chord[/b]:  Any chord passes through the focus of the parabola is a fixed chord of the parabola.[/size][img width=750,height=322]https://cdn1.byjus.com/wp-content/uploads/2020/11/ParabolaArtboard-1-copy-3-8.png[/img][size=150][b]Focal Distance: [/b]The focal distance of any point p(x, y) on the parabola y[sup]2[/sup] = 4ax is the distance between point ‘p’ and focus.[/size][img width=750,height=322]https://cdn1.byjus.com/wp-content/uploads/2020/11/ParabolaArtboard-1-copy-4-8.png[/img][size=150]PM = a + xPS = Focal distance = x + a[/size]

Information: Properties of Parabolas