Conics identify the parts of a circle by completing the square

Conics identify the parts of a circle by completing the square

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify the center, foci, vertices, and co-vertices of conic sections. It focuses on transforming equations into the standard conic section form using the method of completing the square. The tutorial demonstrates grouping terms and creating perfect square trinomials to identify the equation as a circle, finding its center and radius. It concludes with a discussion on the differences between circles and ellipses.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the standard form of a conic section equation mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the center, vertices, and co-vertices in conic sections?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of completing the square as described in the text.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in transforming an equation into the standard form of a conic section?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the radius of a circle from its equation?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between a circle and an ellipse as mentioned in the text?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is the radius of a circle not expressed as plus or minus in the context of the equation?

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