Introduction to Three Dimensional Geometry — Class 11 CBSE Mathematics revision notes
A 4-page visual revision sheet for Introduction to Three Dimensional Geometry, written for Class 11 CBSE Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Introduction to Three Dimensional Geometry sheet covers
- Three mutually perpendicular axes
- The eight octants
- Reading a point off its signs
- (+,+,+)
- (-,+,+)
- (+,-,-)
- (0,0,z)
- Distance between two points
- P(x_1,y_1,z_1) and Q(x_2,y_2,z_2)
- distance from the origin
- Distance, built from a simpler idea
- Worked: distance between two points in space
- Section formula, dividing a segment
- internal division, ratio m:n, P between A(x_1,y_1,z_1) and B(x_2,y_2,z_2)
- external division, m≠n
- midpoint, the special case m=n
- centroid of a triangle with vertices (x_1,y_1,z_1),(x_2,y_2,z_2),(x_3,y_3,z_3)
- Unequal reach
- Dividing a segment: which formula
- Worked: point dividing a segment in a given ratio
- Symbols
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Introduction to Three Dimensional Geometry the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.