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Eliminating Parameters

  • Thread starter Lurid
  • Start date
  • #1
14
0

Homework Statement



Eliminate the parameter:

x=2-3θ
y= 4+θ

Homework Equations



x2 + y2 = r2

The Attempt at a Solution



[x=2-3θ]2; [y= 4+θ]2

x2= 4-12θ+9θ2
y2= 16+8θ+θ2
-------------------------------------
x2+y2 = 20 - 4θ + 10θ2

r2 = 20 - 4θ + 10θ2

Is there another step that I can take to simplify this expression further?
 

Answers and Replies

  • #2
Filip Larsen
Gold Member
1,235
168
From the statement "eliminate the parameter", and assuming the parameter is θ, I would more expect you would have to establish a direct relation between x and y (that is, eliminate θ from the two equations to form one equation involving only x and y).
 

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