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Mathematics Syllabus (JEE Main)

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Q. If 7 - 3x ≥ 1, what is the solution for x?
  • A. x ≤ 2
  • B. x ≥ 2
  • C. x ≤ 3
  • D. x ≥ 3
Q. If 7x + 1 ≥ 15, what is the value of x?
  • A. x ≥ 2
  • B. x < 2
  • C. x > 2
  • D. x ≤ 2
Q. If a + b = 10 and ab = 21, what are the values of a and b?
  • A. 3 and 7
  • B. 4 and 6
  • C. 5 and 5
  • D. 2 and 8
Q. If a + b = 10 and ab = 21, what is the value of a^2 + b^2?
  • A. 49
  • B. 59
  • C. 61
  • D. 41
Q. If A = (1, 0) and B = (0, 1), what is the angle between them?
  • A. 0 degrees
  • B. 90 degrees
  • C. 45 degrees
  • D. 180 degrees
Q. If A = (1, 0, -1) and B = (0, 1, 1), what is the scalar product A · B?
  • A. 0
  • B. 1
  • C. -1
  • D. 2
Q. If A = (1, 0, 0) and B = (0, 1, 0), what is the value of A · B?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If A = (1, 0, 0) and B = (0, 1, 0), what is the vector product A × B?
  • A. (0, 0, 1)
  • B. (1, 0, 0)
  • C. (0, 1, 0)
  • D. (0, 0, 0)
Q. If A = (1, 1, 1) and B = (1, 1, 1), what is the scalar product A · B?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If A = (1, 1, 1) and B = (2, 2, 2), what is A × B?
  • A. (0, 0, 0)
  • B. (1, 1, 1)
  • C. (2, 2, 2)
  • D. (3, 3, 3)
Q. If A = (1, 1, 1) and B = (2, 2, 2), what is the scalar product A · B?
  • A. 3
  • B. 6
  • C. 9
  • D. 12
Q. If A = (1, 1, 1) and B = (x, y, z) such that A · B = 3, what is the value of x + y + z?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If A = (1, 2) and B = (3, 4), what is the dot product A · B?
  • A. 10
  • B. 11
  • C. 12
  • D. 8
Q. If A = (1, 2) and B = (3, 4), what is the midpoint M of AB?
  • A. (2, 3)
  • B. (1, 2)
  • C. (3, 4)
  • D. (4, 5)
Q. If A = (1, 2, 3) and B = (0, 1, 0), what is the direction of the vector product A × B?
  • A. (2, -3, 1)
  • B. (3, 0, -1)
  • C. (1, 0, -1)
  • D. (1, 3, 0)
Q. If A = (1, 2, 3) and B = (4, 5, 6), what is the magnitude of the vector product A × B?
  • A. 0
  • B. 1
  • C. 2√2
  • D. √14
Q. If A = (1, 2, 3) and B = (4, 5, 6), what is the value of A · B?
  • A. 32
  • B. 30
  • C. 28
  • D. 26
Q. If A = (1, 2, 3) and B = (k, k, k) are perpendicular, what is the value of k?
  • A. 1
  • B. 2
  • C. 3
  • D. 0
Q. If A = (1, 2, 3) and B = (x, y, z) are such that A · B = 0, what is the condition for x, y, z?
  • A. x + 2y + 3z = 0
  • B. x - 2y + 3z = 0
  • C. x + 2y - 3z = 0
  • D. x - 2y - 3z = 0
Q. If A = (1, 2, 3) and B = (x, y, z) such that A · B = 14, find the value of x + y + z.
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. If A = (2, 0, -1) and B = (0, 3, 4), what is A · B?
  • A. -4
  • B. 0
  • C. 6
  • D. 8
Q. If A = (2, 0, -1) and B = (0, 3, 4), what is the scalar product A · B?
  • A. -4
  • B. 0
  • C. 6
  • D. 8
Q. If A = (2, 3) and B = (4, 5), what is the vector AB?
  • A. (2, 2)
  • B. (2, 3)
  • C. (4, 5)
  • D. (6, 8)
Q. If A = (2, 3) and B = (4, 7), find the vector AB.
  • A. (2, 4)
  • B. (2, 3)
  • C. (2, 1)
  • D. (2, 2)
Q. If A = (2, 3) and B = (k, 1) are such that A · B = 10, find k.
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?
  • A. 0
  • B. 2
  • C. 3
  • D. 4
Q. If A = (2, 3, 4) and B = (1, 0, -1), find the scalar product A · B.
  • A. -1
  • B. 0
  • C. 1
  • D. 10
Q. If A = (2, 3, 4) and B = (1, 0, -1), find the vector product A × B.
  • A. (3, 6, -3)
  • B. (3, 4, -3)
  • C. (3, -4, 6)
  • D. (3, -6, 4)
Q. If A = (2, 3, 4) and B = (1, 0, -1), what is the scalar product A · B?
  • A. -1
  • B. 0
  • C. 2
  • D. 10
Q. If A = (2, 3, 4) and B = (k, 0, -1) are perpendicular, find k.
  • A. -4
  • B. -3
  • C. -2
  • D. -1
Showing 1021 to 1050 of 2847 (95 Pages)

Mathematics Syllabus (JEE Main) MCQ & Objective Questions

The Mathematics Syllabus for JEE Main is crucial for students aiming to excel in competitive exams. Understanding this syllabus not only helps in grasping key concepts but also enhances your ability to tackle objective questions effectively. Practicing MCQs and important questions from this syllabus is essential for solid exam preparation, ensuring you are well-equipped to score better in your exams.

What You Will Practise Here

  • Sets, Relations, and Functions
  • Complex Numbers and Quadratic Equations
  • Permutations and Combinations
  • Binomial Theorem
  • Sequences and Series
  • Limits and Derivatives
  • Statistics and Probability

Exam Relevance

The Mathematics Syllabus (JEE Main) is not only relevant for JEE but also appears in CBSE and State Board examinations. Students can expect a variety of question patterns, including direct MCQs, numerical problems, and conceptual questions. Mastery of this syllabus will prepare you for similar topics in NEET and other competitive exams, making it vital for your overall academic success.

Common Mistakes Students Make

  • Misinterpreting the questions, especially in word problems.
  • Overlooking the importance of units and dimensions in problems.
  • Confusing formulas related to sequences and series.
  • Neglecting to practice derivations, leading to errors in calculus.
  • Failing to apply the correct methods for solving probability questions.

FAQs

Question: What are the key topics in the Mathematics Syllabus for JEE Main?
Answer: Key topics include Sets, Complex Numbers, Permutations, Binomial Theorem, and Calculus.

Question: How can I improve my performance in Mathematics MCQs?
Answer: Regular practice of MCQs and understanding the underlying concepts are essential for improvement.

Now is the time to take charge of your exam preparation! Dive into solving practice MCQs and test your understanding of the Mathematics Syllabus (JEE Main). Your success is just a question away!

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