Asked by judith
for all parabolas, show that the angle between the line segment joining endpoints of the latus rectum to the vertex is 2 arctan 2
Answers
Answered by
Steve
well, you know that a parabola's equation with vertex at (0,0) is
x^2 = 4py
The length of the latus rectum is 4p, and the distance from the focus to the vertex is p. So,
tan θ/2 = 2p/p = 2
x^2 = 4py
The length of the latus rectum is 4p, and the distance from the focus to the vertex is p. So,
tan θ/2 = 2p/p = 2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.