21 Plane Analytic Geometry

LEARNING OUTCOMES

After completion of this chapter, the student should be able to:

  • Find the distance between two points in the coordinate plane

  • Find the slope and the inclination of a line

  • Undersatnd the relationship between the slopes of parallel and perpendicular lines

  • Determine the equation and properties of a circle, a parabola, an ellipse, and a hyperbola

  • Sketch the graph of a line, a circle, a parabola, an ellipse, or a hyperbola

  • Identify the conic section from the general second-degree equation

  • Obtain a new coordinate system by translation and/or rotation of axes

  • Convert between rectangular and polar coordinates

  • Graph functions in polar coordinates

  • Solve application problems involving lines, conics, and polar ...

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