What is an equation of the line in, point slope form, that passes through the given point and has the given slope?
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Answer:
Step-by-step explanation:
Given that :
the foci of the ellipse is (±√12,0) and C0-vertices are (0,±√37)
The foci are (-C,0) and (C ,0)
the focus has x-coordinates so the focus is lie on x- axis.
The major axis also lie on x-axis
The minor axis lies on y-axis so C0-vertices are (0,±√37)
The given focus C = ae = √12
Given co-vertices ( minor axis) (0,±b) = (0,±√37)
b= √37
We can therefore express the relation between the focus and semi major axes and semi minor axes as:
The equation of ellipse formula is:
and we know that
Thus ; the equation of the ellipse at the origin is