Questions: How Far from Point P is a Given Line?

[golb0016]

Homework Statement

A given point P is seven units from a given straight line. The number of points that are 3 units from the line and also 10 units from point P is: 1, 2, 3, or 4?

The Attempt at a Solution

Not sure how to approach this problem.

 

[CompuChip]

Maybe you can draw it? Draw the line l and the point P.
What does the locus of all points with fixed distance to the line look like?
And all the points with fixed distance to the point?

Now find the intersects.

 

[golb0016]

4, is this correct?

 

[HallsofIvy]

4, is this correct?

That's not what I would get but I may be interpreting the question differently than you. How did you get 4?

 

[golb0016]

Actually I think it should be three. Two points to the side of the main point and one straight across.

 

[Mentallic]

Yes that's what I'm getting as well.