jee_main_2025_03_april_morning - Three Dimensional Geometry Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #0 Intersection of Lines
Let a line passing through the point (4,1,0) intersect the line L₁:(x-1)/(2)=(y-2)/(3)=(z-3)/(4) at the point A(α, β, γ) and the line L₂:x-6=y=-z+4 at the point B(a, b, c). Then the value of the determinant vmatrix 1 & 0 & 1 α & β & γ a & b & c vmatrix is equal to:
Start Practice →
QUESTION #70 Shortest Distance between Skew Lines
Line L₁ passes through the point (1, 2, 3) and is parallel to z-axis[cite: 685]. Line L₂ passes through the point (lambda, 5, 6) and is parallel to y-axis[cite: 686]. Let for λ = λ₁, λ₂, λ₂ < λ₁ the shortest distance between the two lines be 3[cite: 698]. Then the square of the distance of the point (lambda₁, λ₂, 7) from the line L₁ is[cite: 698, 700]:
Start Practice →
Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

Select Your Target Exam

Choose an exam track below to find formulas per chapter and patterns.

Syncing Exam Intelligence

Mapping formulas and patterns across all tracks…

PATH A — FULL LENGTH PRACTICE

Full Mock Test Hub

Simulate real NTA exam conditions with fully tracked mocks. Time yourself against past papers.

Now Live Open
PATH B — TARGETED PRACTICE

Topic-wise Practice Hub

Practice past-year questions one chapter at a time. Pick an exam → subject → chapter and get every PYQ for that topic — pulled together from all past papers — with the chapter's key formulas alongside.

Loading Questions... Browse Topics

Exam Analysis Tools

Chapter weightage trends and topic-wise practice — all mapped from past shift papers.

Year-wise PYQ

Chapter Weightage & Trends

See high-yield chapters, year-wise counts and the frequency-based chance each topic repeats next exam.

Weightage Board Open
Targeted PYQs

Topic-wise Practice Hub

Every past-year question for a chapter pulled from all papers, with its key formulas alongside.

One chapter at a time Open
Latest from the Blog
View all →

Loading articles...