Tofind:the equation of the ellipse in which the vertices of the ellipseis equal to the foci of this hyperbola.
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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