- #1
Miike012
- 1,011
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Question:
a surface consists of all point P such that the distance from P to the plane y = 1 is twice the distance from P to the point Q(0,-1,0). Find the equation for this surface and identify it.
Solution:
the plane y = 1 is all point (x,y,z) such that y = 1.. So can i label an arbitrary point on the y plane (x,1,z)?
I will label the point (x,1,z) Point G
and i will assign the ordered triple (x0,y0,z0) to Point P
If that step if valid I then came up with the following equation...
|PG|2 = (2|GQ|)^2.
Next I proceeded to solve for x0,y0,z0 for LHS which should give me the equation of the surface...
Is this correct?
I hope my explanation to my solution is understandable
a surface consists of all point P such that the distance from P to the plane y = 1 is twice the distance from P to the point Q(0,-1,0). Find the equation for this surface and identify it.
Solution:
the plane y = 1 is all point (x,y,z) such that y = 1.. So can i label an arbitrary point on the y plane (x,1,z)?
I will label the point (x,1,z) Point G
and i will assign the ordered triple (x0,y0,z0) to Point P
If that step if valid I then came up with the following equation...
|PG|2 = (2|GQ|)^2.
Next I proceeded to solve for x0,y0,z0 for LHS which should give me the equation of the surface...
Is this correct?
I hope my explanation to my solution is understandable