SOLUTION: Write the equation of the ellipse with foci of (2,6) and (2,-18) and minor axis of 10.

Algebra.Com
Question 742851: Write the equation of the ellipse with foci of (2,6) and (2,-18) and minor axis of 10.
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Half the distance from (2,6) to (2,-18) is the value, 'c'. The minor axis being length 10 means that half of that distance, 5, is the value for 'b'. The y value directly between (exact middle of) 6 and -18 is the y value for the center point, being (2, -12), which is also the academically described point usually called (h,k).

Standard Ellipse for Foci Vertical:
Be aware, .

RELATED QUESTIONS

Write an equation for each ellipse described below The foci are a (4,0) and (-4,0). Then (answered by lwsshak3)
what is the equation for the ellipse with foci at (±4, 0) and a minor axis of length 6?... (answered by dfrazzetto)
please help me Find the center, vertices, foci and endpoints with the minor axis of the... (answered by ikleyn)
(Ellipse) 25x^2 + 64y^2 - 400x - 600y=0 Find its standard equation, foci, vertices and... (answered by MathLover1)
Can you please help me? 1. Write the equation of an ellipse with center (8, 7),... (answered by chitra)
Find the equation the ellipse with a length of major axis 6, minor axis 4 and the foci... (answered by KMST)
Equation for ellipse with center (0,0) major axis length 6, minor axis length 2, and foci (answered by lwsshak3)
equation of ellipse with the center (2,-3) foci at (2,-7) and (2,1) and a minor axis 12... (answered by lwsshak3)
find an equation of the ellipse with foci at (-5,0) and (5,0) and minor axis of length... (answered by lwsshak3)