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Points on an ellipse
CONCEPTS
Ellipse Equation
![](https://static.wixstatic.com/media/4b7508_9f8349adbd62441991160793c6e36069~mv2.jpg/v1/fill/w_980,h_351,al_c,q_80,usm_0.66_1.00_0.01,enc_auto/4b7508_9f8349adbd62441991160793c6e36069~mv2.jpg)
• The center is (h, k), 2a is the transverse or horizontal diameter, and 2b is the vertical diameter
Ellipse Equation and Point on an Ellipse
• Any point that is on a circle can be put into the ellipse equation.
EXAMPLE
• Point (2, 3) is lies on the circle with center (1, 1), a = 2, b = 2 => (2 – 1)²/4 + (3 – 1)²/4 = 1
ACT PRACTICE PROBLEMS
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