Finding the Parametrized curve

  • Thread starter Niall101
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  • #1
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Question: Attached.

Attempt.

I know I have to find P1 and p2 depending on x and L to satisfy

ax^2 + bxy + cy^2 + dx + ex + f =0

I have tried looking at the ladder when resting on axis to get a better picture but cannot see where to go next.
 

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  • #2
LCKurtz
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You don't want to start with the general equation of a conic because you don't know ahead of time it even is a conic. I know, the question tells you that, but you shouldn't assume it.

Here's a picture of the slanted ladder:

ladder.jpg


Figure out a and b in terms of x, L, and λ. You will need to use the trig functions of θ which you can also get in terms of x, L, and λ. That should get you started.
 
  • #3
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Thanks so much! I am going to work more on this today after class.
 

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