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Conics

Conics. Hyperbola. The set of points which moves so that the difference of its distance from two fixed points is constant. Hyperbola. foci. Fixed points. Transverse axis. Line joining the foci. Transverse axis x. Transverse axis y. = 1. = 1. Conjugate axis.

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Conics

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  1. Conics Hyperbola

  2. The set of points which moves so that the difference of its distance from two fixed points is constant Hyperbola

  3. foci Fixed points Transverse axis Line joining the foci • Transverse axis x • Transverse axis y = 1 = 1

  4. Conjugate axis The line containing B1 and B2 Asymptotes The diagonal lines of the rectangle whose center is the center of the curve of a hyperbola.

  5. Note: The curve of the hyperbola is symmetric with respect to the x and y axes. The value of a, unlike in ellipse, is not necesarily greater than b. Each length of the latus rectum is

  6. y asymptote asymptote conjugate axis f1 f2 V1 C V2 x Transverse axis

  7. Examples: Find the C, V, f, and transverse axis 1. = 144 = 1 3. + 6x + 2y = -10 = 1

  8. Examples: By pair. Find the equation of the hyperbola. Use your notebook. 1. V (-3,0) and (3,0), b = 4 2. C (1,1), V(1,5), conjugate axis 6

  9. Seatwork: Notebook. Find the C, V, f, and asymptotes = 1 2. 3 4 = 12 3. = 20x + 24y + 36

  10. Homework: I. Write your answer in your notebook 1. + 4x + 6y = 4 2. C (-2,2), f(2,2), conjugate axis 4 II. Study for the quiz next meeting

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