The Drill: 26 Questions, JEE Main Rules

Note: These are original questions written to the JEE Main pattern for Three Dimensional Geometry — single-correct MCQs at exam difficulty, covering lines AND the planes material JEE retains. They are practice items, not past-paper reproductions.

Simulate the exam:

  1. Time budget: 26 questions in 60 minutes — 3D questions are formula-plug once the object types are identified.
  2. Marking: JEE Main scheme — +4 correct, −1 wrong, 00 unattempted.
  3. Attempt everything in one sitting before reading any explanation.

Self-scoring table:

Result Marks
Correct answer +4
Wrong answer −1
Not attempted 0
Maximum score 104

Interpreting your score: 85+ — exam-ready on 3D geometry; 65-84 — lines are fine, drill the plane formula sheet of Section 7; 40-64 — revisit Sections 3 and 4, then retake; below 40 — go back through the solved examples of Section 5 first.

Before computing, classify each stem by its two objects: line-line (dot for angle, cross-based formula for distance), line-plane (sine for angle, substitute for intersection), plane-plane (cosine of normals, constant-gap for parallel distance), point-anything (perpendicular-foot recipe). The object pair chooses the formula; everything after is arithmetic.