SOLUTION: Find the equation of the set of all points (x,y) such that the absolute value of the difference between their distance to (-3,0) and to (3,0) is 4. Thanks

Question 876297: Find the equation of the set of all points (x,y) such that the absolute value of the difference between their distance to (-3,0) and to (3,0) is 4.
Thanks
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
A hyperbola may be defined equivalently as the locus of points where the absolute value of the difference of the distances to the two foci is a constant equal to 2a, the distance between its two vertices.
Standard Form of an Equation of an Ellipse is
absolute value of the difference between their distance to F(-3,0) and to F(3,0) is 4 = 2a
Standard Form of an Equation of an Hyperbola opening right and left is:
C(0,0)
sqr(a^2 + b^2) =sqr(4+ b^2)= 3, b^2 = 5

RELATED QUESTIONS
find the equation of the graph of all points such that the difference of their distances... (answered by robertb)

"Find an equation of the locus of all points such that the difference of their distances... (answered by jsmallt9)

find the equation of the set of all points such that the differences of the distances of... (answered by jai_kos)

Find the value of y such that the distance between the points (5,3) and (2,y) is 5 units. (answered by stanbon)

[ Find all value of x such that the distance between (x,-9) and(3,-5) is 6.... (answered by TimothyLamb)

Find a formula that expresses the fact that P(x, y) is a distance 3 from the origin. (answered by jim_thompson5910)

Find a formula that expresses the fact that P(x, y) is a distance 7 from the origin. (answered by Theo)

find the equation of the set of all points such that the sum of the distances of P(x,y)... (answered by uma)

Find an equation of the hyperbola such taht for any point on the hyperbola. the... (answered by AnlytcPhil)