Shortcut Methods
JEE Mains:
Heights and Distances:
 Use trigonometric ratios to find heights and distances.
 Similar triangles can be helpful.
Direction Cosines:
 Represent the direction of a line in 3D space.
 Find direction cosines, angles between lines.
Planes:
 Find equations of planes, intersections, distances.
Lines and Planes:
 Determine angles, parallelism/perpendicularity, intersection points.
Spheres:
 Find equations, intersection with planes, volume.
Cones and Cylinders:
 Calculate surface areas, volumes, intersections.
Coordinate Geometry in 3D:
 Find distances, equations, 3D solid volumes.
CBSE Board Exams:

Similar to JEE Mains, slightly less difficult.

Finding building heights with trigonometry.

Distance between points using distance formula.

Plane equations through three points.

Angles between lines using direction cosines.

Volume calculations for spheres and cylinders.
Practice variations of numerical problems to excel.