Co-ordinate geometry (Weightage 15%)  

Topics from Co-ordinate geometry

  • Cartesian system of rectangular co-ordinates in a plane (4 concepts)
  • Distance formula, section formula, locus and its equation, translation of axes (24 concepts)
  • Intersection of lines, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinates axes (8 concepts)
  • Various forms of equations of a line (20 concepts)
  • Angles between two lines, conditions for concurrence of three lines, distance of a point from a line (8 concepts)
  • Equations of internal and external bisectors of angles between two lines (3 concepts)
  • Equation of family of lines passing through the point of intersection of two lines (3 concepts)
  • Standard form of equation of a circle, general form of the equation of a circle, its radius and centre (22 concepts)
  • Equation of a circle when the end points of a diameter are given (6 concepts)
  • Point of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle (5 concepts)
  • Equation of the tangent (8 concepts)
  • Sections of cones, equations of conic sections(parabola, ellipse and hyperbola) in standard forms (47 concepts)
  • Conditions for Y=mx+c to be a tangent and point(s) of tangency (7 concepts)
  • Coordinates of a point in space, distance between two points (10 concepts)
  • Sections formula, direction rations and directio cosines, angles between two intersecting lines (13 concepts)
  • Skew lines, the shortest distance between them and its equation (9 concepts)
  • Equations of a line and plane in different forms, intersection of a line and a plane, coplaner lines (41 concepts)

Important Books for Co-ordinate geometry

  • Co-ordinate geometry Book
  • Co-ordinate geometry Book