Hint :
Write for the cone:
Substituting values into the paraboloid equation:
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Fernando Revilla
I have two surfaces: x^2+y^2-z^2=0 (cone) and x^2-y^2-z=0 (hyperbolic paraboloid). I'm asked to find their intersection line in its parametric representation and to give the bounds of t.
I tried to take z=x^2-y^2 from the second equation and to use it in the first one, but it leads to a complicated equation and I'm not sure that this is the correct way to deal with this question.
Hint :
Write for the cone:
Substituting values into the paraboloid equation:
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Fernando Revilla
Why do you say that is a straight line?
You need to add more values for . Take into account that if belongs to the line, then:is limited to for this curve.
also belong to the line.
Regards.
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Fernando Revilla