If the equation of an ellipse is in standard form and the denominators are equal, then the ellipse is a circle. true or false?

The statement is a TRUE statement.

We know that the standard form of an ellipse is given as:

where a and b are the x and y-intercepts respectively.

Also when the denominator i.e. a=b then,

Hence, we get the general equation of a circle whose center is at the origin and radius is 'a' or 'b' units.

Hence, the statement:

If the equation of an ellipse is in standard form and the denominators are equal, then the ellipse is a circle is a TRUE statement.

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step-by-step explanation: