L1

• What are conic sections defined as?


  A set of curves formed from dividing a right circular cone with a plane
• What type of curve is produced when the cutting plane is perpendicular to the axis of the cone?


  A circle
• What is the result when the cutting plane is inclined at an angle between the horizontal and that of a generator?


  An ellipse
• What curve results when the cutting plane is parallel to a generator of the cone?


  A parabola
• What is produced when the cutting plane meets both parts of the cone at any angle?


  A hyperbola
• How can the classification of conics be determined from the general equation?


  By getting its discriminant value
• What is the discriminant value for a circle?


  < 0, A = C
• What is the discriminant value for an ellipse?


  < 0, A ≠ C
• What is the discriminant value for a parabola?


  = 0
• What is the discriminant value for a hyperbola?


  > 0
• What are the learning objectives for the lesson on circles?


  1. Define circle
  2. Discuss the standard and general form of circle
  3. Reduce general equation into standard forms
• What is a circle defined as?


  A locus of points that are having a fixed distance from a fixed point
• What is the fixed point in a circle called?


  The center
• What is the fixed distance from the center of a circle called?


  The radius
• What is a tangent in relation to a circle?


  A line that touches the circle at a single point
• What is a chord in a circle?


  A straight line joining two points on the circumference of the circle
• What is the circumference of a circle?


  The perimeter of the circle
• What is a sector in a circle?


  A part of a circle made of the arc of the circle along with its two radii
• What is a segment in relation to a circle?


  A region bounded by a chord of the circle and its associated arc
• What is the standard form equation of a circle?


  (x - h)² + (y - k)² = r²
• What does the standard form equation of a circle represent?


  Where (h,k) are the coordinates of the circle and r is the radius
• What is the general form equation of a circle?


  Ax² + Cy² + Dx + Ey + F = 0
• What are the quadratic terms in the general form of a circle?


  Ax² and Cy²
• What must be true about A and C in the general form of a circle?


  A and C are always equal
• What are the linear terms in the general form of a circle?


  Dx and Ey
• What is F in the general form of a circle?


  Any constant