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PLANE ANALYTIC GEOMETRY INTRODUCTION Number Systems Directed Lines Article 1 Number Systems
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2Hxy abscissa Accordingly analytic geometry angle apply bisects called Chap chapter chord of contact coefficients coincident column conic conjugate hyperbola coordinate axes coordinate planes corresponding curve determinant directed distance direction cosines directrix ellipse equal Example EXERCISE Find the equation fixed point focus follows formula given equation graph Hence hyperbola intercepts j/-axis joining the points latus rectum length line 2x line passing line segment joining line which passes loci locus mid-points negative numbers Obtain the equation origin parabola parametric equations perpendicular PI(XI PiP2 point of contact point P(x point xi points of intersection polar axis positive principal axis principal diameter projection Prove radical axis radius rectangular roots rotation of axes satisfy the equation Show slope solution straight line surface surface of revolution symmetry with respect tangent Theorem triangle values variable vertex vertices whence x-axis x-intercept y-axis z-axis zero