The Drill: 26 Questions, JEE Main Rules

Note: These are original questions written to the JEE Main pattern for Application of Integrals — single-correct MCQs at exam difficulty. They are practice items, not past-paper reproductions.

Simulate the exam:

  1. Time budget: 26 questions in 60 minutes — area questions reward setup speed.
  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 areas; 65-84 — setups are fine, drill the special results and segment templates; 40-64 — revisit Sections 3 and 6, then retake; below 40 — go back through the solved examples of Section 4 first.

Scan each stem for its pattern before computing: plain area under a curve, sign-split region, circle/ellipse fraction, area between curves, or inverse (find-the-parameter) problem. Sketch for ten seconds; the sketch chooses the method.