Home › Quizzes › JEE › Mathematics

JEE Advanced 2027: High-Weightage Mathematics — Calculus & Algebra

JEE Mathematics • 10 questions • Free on ExamBattle

Practice Questions

1. Q1

   The value of ∫₀^∞ xe^(−x) dx is:

   • A. 0
   • B. 1
   • C. 2
   • D. ∞

2. Q2

   If ω is a complex cube root of unity, then 1 + ω + ω² = ?

   • A. 3
   • B. 0
   • C. ω
   • D. −1

3. Q3

   The rank of the matrix [[1,2,3],[2,4,6],[3,6,9]] is:

   • A. 3
   • B. 1
   • C. 2
   • D. 0

4. Q4

   The function f(x) = x + 1/x has a local minimum at:

   • A. x = −1
   • B. x = 1
   • C. x = 0
   • D. x = 2

5. Q5

   The number of solutions to the system x + y = 3 and 2x + 2y = 6 is:

   • A. 0
   • B. Infinitely many
   • C. 1
   • D. 2

6. Q6

   The modulus of the complex number (3 + 4i)/(1 − 2i) is:

   • A. 1
   • B. √5
   • C. 5
   • D. √(5/3)

Attempt this quiz free at ExamBattle. Sign in to earn a score and rank on the leaderboard.