# Co-ordinate geometry (Weightage 15%)   Share

### 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

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