## Analytic Geometry |

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algebraic asymptotes axis called Completing the squares Consequently constant coordinate axes cylinder determine direction cosines distance ellipse equa equal equation connecting equation x2 equivalent Example Exercises expression factors Find its equation Find the angle Find the equation Find the locus find the point Find the polar fixed circle fixed point following equations function given graph Hence horizontal imaginary infinite number initial line intercepts length locus of points middle point nates negative origin pairs parabola parallel axes parameter perpendicular Pi xi PiP2 Plot the curve polar coordinates polar equation polynomial projections quantities radius real number rectangular coordinates rectangular equation root satisfy the equation second degree semi-axes Show side simultaneous equations slope solutions solved straight line surface surface of revolution symmetrical with respect tangent tion triangle variable vector vertex vertices x-axis xy-plane y-axis yz-plane z-axis zero