Posted by **Mason** on Monday, March 12, 2012 at 3:55pm.

For each point in a set of points, its distance from (3,4) is four times it's distance from (-5,2)

a. Find the equation

b. tell which conic section the graph will be.

- Math/conics -
**Steve**, Monday, March 12, 2012 at 5:12pm
let d1 = distance of (x,y) from (3,4)

d1^2 = (x-3)^2 + (y-4)^2

let d2 = distance from (-5,2)

d2^2 = (x+5)^2 + (y-2)^2

since d1 = 4*d2

d1^2 = 16*d2^2

(x-3)^2 + (y-4)^2 = 16[(x+5)^2 + (y-2)^2]

expand and collect terms to arrive at

(x+83/15)^2 + (y-28/15)^2 = 7234/15

Looks like a circle

## Answer this Question

## Related Questions

- Math - For each point in a set of points, its distance from (-2,4) is three ...
- geometry - A point is moving in a plane in such a way that its distance from the...
- Math - Find the discriminant. Tell which conic section the graph will be. 3x^2...
- conics - Explain which conic section this equation and explain how to solve it: ...
- solving conics - Explain which conic section this equation and explain how to ...
- precal : conics - locate the center, foci, vertices,ends of the latera recta and...
- Calculus please help ! - Find the coordinates of the center of the ellipse ...
- Pre-calculus HELP PLEASE ! - Find the coordinates of the center of the ellipse ...
- Math/Algebra - Please help me with this, below is a question I have to answer…...
- Algebra 2 - I am creating a project for math in which I have to draw an object ...

More Related Questions