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Tofind:the equation of the ellipse in which the vertices of the ellipseis equal to the foci of this hyperbola.
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Answer to Problem 74RE
Theequation of ellipse is
Explanation of Solution
Given:
Concept used:
Formula for ellipse:
The point
The coordinates of the vertices are
The coordinates of the foci are
Formula for hyperbola forming open left and right:
Center=
Vertices=
Calculation:
According to the given equation:
The equation is of hyperbola:
Vertices of hyperbola=
Foci of hyper bola=
vertices of ellipse=
Foci of ellipse=
Vertices of ellipse=
So,
Now x-axis is major axis:
So, equation of ellipse is
Hence, the equation of ellipse is
Chapter 10 Solutions
Precalculus
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