# For Exercise, write the standard form of an equation of an ellipse subject to the given conditions. Vertices: (6, 0) and (−6, 0);Foci: (5, 0) and (−5, 0)

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For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.

Vertices: (6, 0) and (−6, 0);

Foci: (5, 0) and (−5, 0)

check_circle

Step 1

Given:

Step 2

From the given information, the vertices are at distance 6 units from the center. Therefore, the value of a is 6.

Also, the foci are at distance 5 units from the center. Therefore, the value of c is 5.

And the center of the ellipse is the origin.

Now obtain the value of b as shown below.

Step 3

Here the value of a is greater than b and the vertices are at x axis.

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