Mathematics Syllabus (JEE Main)
Download Q&AQ. If A = {x | x is an even number} and B = {x | x is a prime number}, what is A ∩ B?
Q. If A = | 1 2 | | 3 4 |, find det(A).
Q. If A = | 1 2 | | 3 4 |, what is det(A)?
Q. If A = | 1 2 | | 3 5 |, what is det(2A)?
Q. If a card is drawn from a standard deck of 52 cards, what is the probability that it is a heart?
Q. If a circle has a diameter of 10, what is its circumference?
Q. If a circle has the equation x² + y² - 4x + 6y + 9 = 0, what is the center of the circle?
Q. If a die is rolled, what is the probability of rolling a number greater than 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?
Q. If A is a 2x2 matrix with eigenvalues 1 and -1, what is the determinant of A?
Q. If A is a 2x2 matrix with eigenvalues 3 and 5, what is the trace of A?
Q. If A is a 3x3 matrix with eigenvalues 2, 3, and 4, what is the trace of A?
Q. If a line passes through the points (1, 1) and (2, 3), what is its equation in slope-intercept form?
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?
Q. If a quadratic equation has roots 2 and -3, what is the equation in standard form?
Q. If a sequence is defined by a_n = 2n + 3, what is a_5?
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?
Q. If a student guesses on a multiple-choice test with 4 options per question, what is the probability of guessing the correct answer?
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?
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?
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?
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?
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?
Q. If a triangle has sides of lengths 3, 4, and 5, what is its area?
Q. If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?
Q. If A(1, 2, 3) and B(4, 5, 6) are two points, what is the vector AB?
Q. If A(2, 3, 4) and B(1, 0, -1) are two points in space, find the vector AB.
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?
Q. If B = {a, b, c, d}, what is the power set of B?
Q. If B = {a, b}, how many subsets does B have?
