1. ## Latus rectum

How do u find the two points that define the latus rectum? With the Focus at (0,-7) and the directrix line y=7.

2. Originally Posted by Jmoney008
How do u find the two points that define the latus rectum? With the Focus at (0,-7) and the directrix line y=7.
The latus rectum is the line which passes through the focus and is parallel to the directrix.

The equation of the parabola is:

$4 \cdot (-7) \cdot y = x^2~\implies~\boxed{y=-\frac1{28} x^2}$

The latus rectum is placed on the line $l: y = -7$.

To determine the endpoints of the latus rectum calculate the coordinates of the intersection points between the parabola and the line $l$.

3. Originally Posted by earboth
To determine the endpoints of the latus rectum calculate the coordinates of the intersection points between the parabola and the line $l$.
If I remember correctly the equation for the latus rectum is the absolute of 4p. That gives the length and the rest is obviously self explanatory.

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### coordinates of latus rectum of parabola

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