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From Karnataka Open Educational Resources
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, 18:26, 5 December 2013
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| # These figures can be represented on the graph as well as algebraically. | | # These figures can be represented on the graph as well as algebraically. |
| # The four conic sections are circles, ellipses, parabolas, and hyperbolas. | | # The four conic sections are circles, ellipses, parabolas, and hyperbolas. |
− | # The general equation for all conics is <math>Ax^2+Bxy+Cy^2+Dx+Ey+F=0</math>
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− | If <math>B^2-4AC<0</math> then the curve is an ellipse, circle, point or no curve.<br>
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− | If <math>B^2-4AC=0</math> then the curve is a parabola,2parallel lines, 1 line or no curve.<br>
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− | If <math>B^2-4AC>0</math> then the curve is a hyperbola or 2 intersecting lines.<br>
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| ===Notes for teachers=== | | ===Notes for teachers=== |
| + | # The general equation for all conics is <math>Ax^2+Bxy+Cy^2+Dx+Ey+F=0</math> |
| + | #If <math>B^2-4AC<0</math> then the curve is an ellipse, circle, point or no curve.<br> |
| + | #If <math>B^2-4AC=0</math> then the curve is a parabola,2parallel lines, 1 line or no curve.<br> |
| + | #If <math>B^2-4AC>0</math> then the curve is a hyperbola or 2 intersecting lines.<br> |
| ===Activity No # === | | ===Activity No # === |
| {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |