SOLUTION: the endpoints of major and minor axes of an ellipse are (1,1),(3,4),(1,7)and(-1,4).sketch the ellipse give the question in standard form and find its foci eccentricity and directri

Question 1168162: the endpoints of major and minor axes of an ellipse are (1,1),(3,4),(1,7)and(-1,4).sketch the ellipse give the question in standard form and find its foci eccentricity and directrices
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Sorry, I don't know how to put a question in standard form. But I can teach you this one lesson: Proofread your posts BEFORE you click 'Send'.

John

My calculator said it, I believe it, that settles it

I > Ø

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
so, the endpoints of major axes are (,) and (,), -> it’s ellipse with major axis
distance =>
the endpoints of minor axes are (,) and (,), distance =>
center is midpoint of both axes, at (,)=(,)=>,

Standard form of equation for ellipse with vertical major axis:

,
if

then

sketch the ellipse

give the question in standard form and find its foci eccentricity and directrices

Foci:
For an ellipse with major axis parallel to the y-axis, the foci points are defined as :
(,),(,), where is the distance from the center (,)
so, since and we have:
(,),(,)
since and , we have:

then
(,)≈(,1.8}}}), (,)≈()
eccentricity is
directrices: solve equation for

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