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Mathematics Syllabus (JEE Main)

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Q. If A = {x | x is an even number} and B = {x | x is a prime number}, what is A ∩ B?
  • A. {2}
  • B. {2, 3}
  • C. {2, 4}
  • D. {}
Q. If A = | 1 2 | | 3 4 |, find det(A).
  • A. -2
  • B. 2
  • C. 0
  • D. 4
Q. If A = | 1 2 | | 3 4 |, what is det(A)?
  • A. -2
  • B. 2
  • C. 0
  • D. 4
Q. If A = | 1 2 | | 3 5 |, what is det(2A)?
  • A. -10
  • B. 10
  • C. 20
  • D. 40
Q. If a card is drawn from a standard deck of 52 cards, what is the probability that it is a heart?
  • A. 1/4
  • B. 1/13
  • C. 1/2
  • D. 1/52
Q. If a circle has a diameter of 10, what is its circumference?
  • A. 10π
  • B. 20π
  • C. 5π
  • D. 15π
Q. If a circle has the equation x² + y² - 4x + 6y + 9 = 0, what is the center of the circle?
  • A. (2, -3)
  • B. (2, 3)
  • C. (-2, 3)
  • D. (-2, -3)
Q. If a die is rolled, what is the probability of rolling a number greater than 4?
  • A. 1/6
  • B. 1/3
  • C. 1/2
  • D. 1/4
Q. If A is a 2x2 matrix such that A^2 = I, where I is the identity matrix, then which of the following is true?
  • A. A is invertible
  • B. A is singular
  • C. A is a zero matrix
  • D. A is a diagonal matrix
Q. If A is a 2x2 matrix with eigenvalues 1 and -1, what is the determinant of A?
  • A. 0
  • B. 1
  • C. -1
  • D. 2
Q. If A is a 2x2 matrix with eigenvalues 3 and 5, what is the trace of A?
  • A. 8
  • B. 15
  • C. 5
  • D. 3
Q. If A is a 3x3 matrix with eigenvalues 2, 3, and 4, what is the trace of A?
  • A. 9
  • B. 24
  • C. 6
  • D. 12
Q. If a line passes through the points (1, 1) and (2, 3), what is its equation in slope-intercept form?
  • A. y = 2x - 1
  • B. y = 3x - 2
  • C. y = 2x + 1
  • D. y = x + 2
Q. If a person is standing 50 meters away from a building and the angle of elevation to the top of the building is 60 degrees, what is the height of the building?
  • A. 25√3 meters
  • B. 50√3 meters
  • C. 75 meters
  • D. 100 meters
Q. If a quadratic equation has roots 2 and -3, what is the equation in standard form?
  • A. x^2 + x - 6 = 0
  • B. x^2 - x - 6 = 0
  • C. x^2 - x + 6 = 0
  • D. x^2 + 5x - 6 = 0
Q. If a sequence is defined by a_n = 2n + 3, what is a_5?
  • A. 10
  • B. 11
  • C. 13
  • D. 15
Q. If a student guesses on a multiple-choice test with 4 options for each question, what is the probability of guessing the correct answer?
  • A. 1/4
  • B. 1/2
  • C. 1/3
  • D. 1/5
Q. If a student guesses on a multiple-choice test with 4 options per question, what is the probability of guessing the correct answer?
  • A. 1/4
  • B. 1/2
  • C. 1/3
  • D. 1/5
Q. If a student is selected at random from a group of 20 students, 12 of whom are boys, what is the probability that the student is a boy?
  • A. 3/5
  • B. 2/5
  • C. 1/2
  • D. 1/3
Q. If a student is selected at random from a group of 20 students, 12 of whom are boys, what is the probability that the student is a girl?
  • A. 1/5
  • B. 2/5
  • C. 3/5
  • D. 1/2
Q. If a student is selected at random from a group of 20 students, 8 of whom are girls, what is the probability that the selected student is a boy?
  • A. 1/2
  • B. 3/5
  • C. 2/5
  • D. 1/5
Q. If a student is selected at random from a group of 20 students, where 12 are girls and 8 are boys, what is the probability that the selected student is a boy?
  • A. 2/5
  • B. 1/2
  • C. 3/5
  • D. 1/4
Q. If a student is selected at random from a group of 20 students, where 8 are girls, what is the probability that the selected student is a boy?
  • A. 3/5
  • B. 1/4
  • C. 1/2
  • D. 2/5
Q. If a triangle has sides of lengths 3, 4, and 5, what is its area?
  • A. 6
  • B. 12
  • C. 8
  • D. 10
Q. If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?
  • A. (3, 3, 3)
  • B. (2, 3, 4)
  • C. (1, 1, 1)
  • D. (0, 0, 0)
Q. If A(1, 2, 3) and B(4, 5, 6) are two points, what is the vector AB?
  • A. (3, 3, 3)
  • B. (3, 3, 0)
  • C. (0, 0, 0)
  • D. (1, 1, 1)
Q. If A(2, 3, 4) and B(1, 0, -1) are two points in space, find the vector AB.
  • A. (1, 3, 5)
  • B. (1, -3, -5)
  • C. (1, 3, -5)
  • D. (1, -3, 5)
Q. If an ellipse has a semi-major axis of 10 and a semi-minor axis of 6, what is the value of b^2?
  • A. 36
  • B. 64
  • C. 100
  • D. 60
Q. If B = {a, b, c, d}, what is the power set of B?
  • A. {∅, {a}, {b}, {c}, {d}}
  • B. {∅, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {a, c, d}, {b, c, d}, {a, b, c, d}}
  • C. {∅, {a, b}, {c, d}}
  • D. {∅, {a, b, c}, {d}}
Q. If B = {a, b}, how many subsets does B have?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Showing 1111 to 1140 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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