# Help Analytical Geometry

#### MrYu

Joined Sep 26, 2011
42
if the distance from the focus to a point P on the parabola y^2 = 4px is 10, find the coordinate of p.

how to get the coordinates of P? tnx

what is the equation?

Last edited:

#### WBahn

Joined Mar 31, 2012
27,507
If p a point (i.e., an x,y pair) or is it a parameter? You have y^2 = 4px implying that p is a parameter (a single number). Please clarify.

Setting that aside, consider the following questions in general:

What are the coordinates of the focus of the parabola?

What is the distance from that point to an arbitrary point on the parabola?

What point(s) on the parabola are satisfy the desired distance.

#### MrYu

Joined Sep 26, 2011
42
up..............

#### WBahn

Joined Mar 31, 2012
27,507
up..............
That's not providing much additional information.

#### bountyhunter

Joined Sep 7, 2009
2,512
if the distance from the focus to a point P on the parabola y^2 = 4px is 10, find the coordinate of p.

how to get the coordinates of P? tnx

what is the equation?
My humble suggestion would be this: instead of trying to "find an equation" to plug a number into and get another number, you might want to learn what a parabola is so you can solve the problem. This is an important concept.

http://en.wikipedia.org/wiki/Conic_section

http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php

http://en.wikipedia.org/wiki/Parabola

http://www.analyzemath.com/parabola/Equation.html