Engineering Entrance

JEE Advanced 2024 — Set 2

English

Practice the official JEE Advanced 2024 previous year question paper

Questions

3.0

Marks/Question

180 min

Duration

English

Language

About This Paper

This is the official JEE Advanced 2024 examination paper, Set 2. The paper contains 54 multiple-choice questions.

The exam duration is 180 minutes.

Each correct answer carries 3.0 mark with a deduction of 1.0 for wrong answers.

Joint Entrance Examination (Advanced) — the gateway to IITs. Two papers (Physics, Chemistry, Mathematics), 3 hours each. Multiple question types: MCQ single/multiple, integer, matrix match.

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Sample Questions

Q1Section 1 – Single Correct Answer

Considering only the principal values of the inverse trigonometric functions, the value of 1 1 3 2 tan sin 2cos 5 5 − − ⎛ ⎞ ⎛ ⎞ ⎛ ⎞− ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ is

A.7 24

B.7 24 −

C.5 24 −

D.5 24

Q2Section 1 – Single Correct Answer

Let   2 2 ( , ) : 0, 0, 4 , 12 2 and 3 8 5 8 . S x y x y y x y x y x = ∈ × ≥ ≥ ≤ ≤ − + ≤ If the area of the region S is 2, α then αis equal to

A.17 2

B.17 3

C.17 4

D.17 5

Q3Section 1 – Single Correct Answer

Let . k ∈ If ( ) 2 6 0 lim , sin(sin ) cos x x e kx x x →+ = + + then the value of k is

A.1

B.2

C.and (D). ONLY ONE of these four options is the correct answer. • For each question, choose the option corresponding to the correct answer. • Answer to each question will be evaluated according to the following marking scheme: Full Marks : +3 If ONLY the correct option is chosen; Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered); Negative Marks : −1 In all other cases.

D.4 SECTION 1 (Maximum Marks: 12) • This section contains FOUR (04) questions. • Each question has FOUR options (A), (B),