Loading....
Coupon Accepted Successfully!

 

Length of the Latus Rectum


The latus rectum of a parabola is the chord passing through the focus and perpendicular to the axis.

In other words the focal chord perpendicular to the axis of a parabola is the called the latus rectum of the parabola.

Length of the Latus Rectum
Recall latus rectum is the chord of the parabola passing through the focus and perpendicular to the axis of the parabola. In figure given below, BFB' is the latus rectum.

Now, BFB' = 2FB
The coordinates of B are (a, BF). 
Since B lies on the parabola, we must have
BF2 = 4a.a   
BF = 2a.
BFB' = 4a, which is the length of latus rectum.




Test Your Skills Now!
Take a Quiz now
Reviewer Name