Point
Coordinate systems
Distance between two points
Distance of a point from coordinate axes
Distance of a point from coordinate planes
Section of the join of two points
Angles between two non coplanar points
Line
Direction cosines of line
Direction angles
Direction ratios
Projection of a point on a line
Projection of a segment of a line on another line
Projection of a broken line on a given line
Direction cosines of line joining two points
Angle between two lines
Condition for perpendicularity
Condition for parallel lines
Plane
General equation of first degree
General equation of plane through point
Normal form of plane
Intercept form of plane
Reduction of the general equation to the normal form
Angle between two planes
Condition for perpendicular
Condition for parallelism
Plane through three given points
Equation to the co-ordinate planes
Equation of the plane parallel to coordinate axes
Equation of plane perpendicular to
Planes perpendicular to
Plane through the line of intersection of two given planes
Condition for a line to a plane having Perpendicular & Parallel
Position of point with respect to a plane
Perpendicular distance of a point from a plane
Plane bisecting the angle between the given planes
Equation of pair of planes
Condition for the general homogeneous equation of second degree to represent a plane
Angle between planes
Condition of perpendicularly
Projection on a plane
Area of a triangle whose vertices are given
Symmetrical form of the equation of line
Line passing through two points
Transformation from general form to symmetrical form
The plane & symmetrical line
Equation of a plane passing through given
Equation of a plane passing through a line & parallel to another passing through
Perpendicular distance of a point from a given line
Equation of the perpendicular line from point P(x,y,z) to a given line
Projection of a line on a given plane
Co-planer lines
Point of intersection of given lines
Equation of plane on which they lie
Equation of a line intersecting given two lines
Intersection of three planes
Shortest distance between two lines
Equation of two skew lines
Change of axes
Sphere
General equation of a sphere
Pseudo sphere or a virtual sphere
Equation of sphere through four given points
Equation of a sphere on the line joining two given points as diameter
Plane section of a sphere
Intersection of two spheres
Sphere through a given circle
Intersection of a straight line & a sphere
Equation of the tangent plane
Condition of the plane lx+my+nz=p to touch the sphere
Touching plane
Polar plane
Angle of intersection of two sphere
Condition for orthogonality of the sphere
Length of the tangent
Radical plane
Equation of coaxial spheres in the simplest form
Limiting point
Cone
Cylinder
Conics
Circle
Parabola
Ellipse
Hyperbola
Conicoid
Elliptic paraboloid
Hyperbolic paraboloid
Ellipsoid
Hyperboloid of one sheet
Hyperboloid of two sheets
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