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Conic Sections Classifying Conic Sections NOTES The four conic sections are the circle, ellipse, parabola, and hyperbola. They can all be obtained by slicing a right circular cone at different angles.

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This guide provides detailed instructions for users looking to complete the Conic Sections Classifying Conic Sections NOTES. It covers the necessary steps to efficiently fill out the form and understand each component involved in classifying conic sections.

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  1. Click the ‘Get Form’ button to access the Conic Sections Classifying Conic Sections NOTES. This action will allow you to open the form in an editable format.
  2. Begin by identifying the four conic sections: circle, ellipse, parabola, and hyperbola. Familiarize yourself with their definitions as presented in the matching section.
  3. Match the definitions provided to the corresponding conic sections listed. For instance, write 'circle' next to its definition, ensuring accurate pairings.
  4. Follow the flowchart in the equation section to classify conic sections. Answer the questions regarding the values of 'A' and 'C' to determine the specific type of conic section.
  5. Utilize the spaces provided to complete the square for each conic section equation as per instructions, writing it in standard form.
  6. Identify the key values for each conic section (such as center, radius, vertices, foci) and fill them in the designated areas to ensure comprehensive classification.
  7. Once you have completed the entire form, review your entries for accuracy and completeness.
  8. Finally, save your changes, download the completed form, print it if necessary, or share it as needed.

Start filling out your Conic Sections Classifying Conic Sections NOTES online now to enhance your understanding of conic sections.

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Conic Section Standard Forms Circle: x2+y2=a2 Ellipse: x2/a2 + y2/b2 = 1. Hyperbola: x2/a2 – y2/b2 = 1. Parabola: y2=4ax when a>0.

If B2 -4AC < 0, the conic is a circle, or an ellipse. If B2 - 4AC = 0, the conic is a parabola. Another way to classify conics has to do with the product of A and C.

The equation of a hyperbola is in general form if it is in the form A x 2 + B y 2 + C x + D y + E = 0 , A x 2 + B y 2 + C x + D y + E = 0 , where A and B have opposite signs.

Steps to Identify Conic Sections From General Form If A and C are non zero and equal, and both have the same sign, then it will be a circle. If A and C are non zero and unequal, and have the same sign, then it will be an ellipse. If A or C is zero, then it will be a parabola.

Conic Sections Equations Conic section NameEquation when the centre is at the Origin, i.e. (0, 0)Circlex2 + y2 = r2; r is the radiusEllipse(x2/a2) + (y2/b2) = 1Hyperbola(x2/a2) – (y2/b2) = 1Parabolay2 = 4ax, where a is the distance from the origin to the focus

The discriminant (B2-4AC) is used to determine which conic section will result. If the discriminant is less than zero we have a circle (if A = C) or an ellipse; if the discriminant is equal to zero we have a parabola; if the discriminant is greater than zero we have a hyperbola.

0:45 3:33 Determining What Type of Conic Section from General Form - YouTube YouTube Start of suggested clip End of suggested clip And if this is the case we will have an ellipse. So this first example we have a equals one and cMoreAnd if this is the case we will have an ellipse. So this first example we have a equals one and c equals.

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