Where do the Circle and Hyperbola Cross

Where do the Circle and Hyperbola Cross

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to find intersection points between a circle and a hyperbola. It covers graphing techniques, solving systems of equations using elimination, and rewriting equations for easier computation. The tutorial demonstrates solving for variables using square roots and discusses the possible number of intersection points. The process is illustrated with examples, emphasizing the importance of understanding coefficients and using multipliers.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the possible intersection points between a circle and a hyperbola?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you graph a circle and a hyperbola to find their intersection points?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What method can be used to solve a system of equations involving a circle and a hyperbola?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of having the same coefficients in the equations when solving for intersection points.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to eliminate variables when solving a system of equations?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the values of X and Y at the intersection points?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the final coordinates of the intersection points between the circle and the hyperbola?

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