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The parametric equations of evolute of ellipse is $\"\"$ and $\"\"$ .

For a cosine function : $\"\"$ .

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The $\"\"$ values lie between $\"\"$ .

For a sine function: $\"\"$ .

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The $\"\"$ values lie between $\"\"$ .

Observe the graphs :

The above specifications matches to the graph (a).

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The equation matches to the graph (a).