SOLUTION: determine the equation of the curve such that the sum of the distance of any point on the curve from two points whose coordinate are (-3,0) and (3,0) is always equal to 8

Algebra.Com
Question 1086399: determine the equation of the curve such that the sum of the distance of any point on the curve from two points whose coordinate are (-3,0) and (3,0) is always equal to 8
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Ellipse with foci at the points (-3,0) and (3,0) and the major axis of 8 units long.


Hence, the major semi-axis is 4 units long.


Then the minor semi-axis is  = .


The equation of the ellipse is


 +  = 1.

See the lesson
    - Ellipse definition, canonical equation, characteristic points and elements
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".



RELATED QUESTIONS

We did not find results for: determine the equation of the ellipse such that the sum of... (answered by josgarithmetic)
A curve is traced by a point (x,y) which moves such that its distance from the point... (answered by greenestamps)
Hi again!! A curve is traced by a point P(x,y) which moves such that its distance from (answered by josgarithmetic)
Find the cooordinates of the two points on the curve y=4-x^2 whose tangents pass through... (answered by josgarithmetic)
Given the function g=(t^(2)-3)/t, find the function that gives the gradient of the curve... (answered by anand429,Alan3354)
curve c is described by the equation 0.25x2+y2=9. determine the y coordinates of the... (answered by solver91311)
a curve (dy/dx) = x^1/2-x^-1/2 the curve passes through point (4,2/3) •find the... (answered by Fombitz)
Given that the gradient of a curve is 3x^2-4 and that the curve passes through (-1,6),... (answered by robertb)
Consider the curve described by the equation below, y = e^2x + 3. a) Sketch a rough... (answered by solver91311)