Geometry & Mensuration

construction of angles

coordinates in 3d

how to check for similarity in triangles?

the distance from a point to a line

Perpendicular distances from points to lines and planes in 2D and 3D coordinate geometry

Questions on map reading, scale calculations, distances, and similar triangles

perpendicular distance of a point from a plane

introduction to hyperbola

standard equation of hyperbola

Director and auxiliary circles of conic sections (hyperbolas and ellipses)

Problems involving intersection of lines and planes in three-dimensional space, including points of intersection, line-plane relationships, and plane dividing line segments

Properties, equations, and applications of auxiliary and director circles of hyperbolas and ellipses for class XII mathematics students.

director circle and auxiliary circle of a hyperbola

Applications of the Pythagorean theorem, properties of right triangles, diagonal calculations, and Pythagorean triples

Questions on geometric constructions using ruler, compass, and other instruments including line segments, triangles, quadrilaterals, and constructions related to circles