Lesson-5-different-types-of-conic-section.pdf

How to identify Equations of Conic sections General Form of Equation of Conic Sections 2 2 𝑨𝑥 + 𝐵𝑥𝑦 + 𝑪𝑦 + 𝐷𝑥 + 𝐸𝑦 + 𝐹 = 0 Circle: A=C Parabola: A=0 or C=0 but not both zero Ellipse: A≠C, but have the same sign Hyperbola: A≠C, but have different sign Directions: Read and answ...

How to identify Equations of Conic sections General Form of Equation of Conic Sections 2 2 𝑨𝑥 + 𝐵𝑥𝑦 + 𝑪𝑦 + 𝐷𝑥 + 𝐸𝑦 + 𝐹 = 0 Circle: A=C Parabola: A=0 or C=0 but not both zero Ellipse: A≠C, but have the same sign Hyperbola: A≠C, but have different sign Directions: Read and answer the following. Write the letter that corresponds to each given equation from the choice below by using a separate sheet of pad paper. A.) Circle B.) Ellipse C.) Hyperbola D.) Parabola 2 1. + = 16 x y2 2. x2 – 3x – y = 0 𝑥2 𝑦2 3. + =1 16 9  2 4. 𝑦 − 6𝑦 + 8𝑥 + 25 = 0 2 2 5. 𝑥 + 2𝑦 − 2𝑥 + 8𝑦 − 11 = 0 2 2 6. 𝑥 + 𝑦 − 4𝑥 − 2𝑦 = 4 2 2 7. 𝑥 + 𝑦 + 4𝑥 + 3 = 6𝑦 2 8. 𝑥 − 4𝑥 − 2 = 6𝑦 2 2 9. 𝑥 + 2𝑥 + 𝑦 + 2𝑦 + 9 = 9 2 2 10. 𝑥 − 6𝑥 + 9 + 𝑦 + 4𝑦 = 0