What is the value of a^2 in the given ellipse equation?
How to identify the parts of a hyperbola when the center is not at the origin
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Mathematics
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11th Grade - University
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Hard
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The video tutorial explains how to identify and plot the elements of an ellipse, including the center, transverse axis, vertices, and foci. It covers the calculation of a^2, b^2, and c^2, and demonstrates how to sketch asymptotes. The instructor also corrects a mistake regarding the distance to the foci, emphasizing the importance of accuracy in plotting.
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7 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
How do you determine the center of the ellipse from the given information?
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
Explain the significance of the transverse axis in relation to the ellipse.
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
How does the orientation of the transverse axis affect the graph of the ellipse?
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
What are the coordinates of the vertices of the ellipse?
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
Describe how to find the foci of the ellipse based on the center and distance.
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the formula for the asymptotes of the ellipse and how is it derived?
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