CBSE 12 Maths Question Paper-2024 Set-1

A function f: R+ -> R (where R+ is the set of all non-negative real numbers) defined by f(x) = 4x + 3 is:

If a matrix has 36 elements, the number of possible orders it can have, is:

Which of the following statements is true for the function f(x) = {x^2+3, x≠0; 1, x=0} ?

If a matrix has 36 elements, the number of possible orders it can have, is :

Let f(x) be a continuous function in the interval [a, b] and differentiable in the interval (a, b). The function f(x) is said to be continuously increasing in the interval (a, b) if:

The value of the determinant |24/x + 24/y| is:

Which of the following statements is true for the function f(x) = {x^2+3, x≠0; 1, x=0} ?

The value of ∫[a,b] f(x) dx is equal to:

Let θ be the angle between two unit vectors â and b̂ such that sinθ = 3/5. Then, â • b̂ is equal to:

If the direction cosines of a line are √3k, √3k, √3k, then the value of k is:

A linear programming problem deals with the optimization of a/an:

If P(A|B) = P(A'|B), then which of the following statements is true?

If x = at, y = a/t, then dy/dx is:

The solution of the differential equation dy/dx = 1/log y is:

The vector with terminal point A(2, -3, 5) and initial point B(3, -4, 7) is:

The feasible region of a linear programming problem is shown in the figure. Let Z = ax + by be the objective function. Maximum value of Z will be at:

If the probability of getting a 'success' in a single trial is 1/2, then the probability of getting 3 successes in 5 trials is:

In a linear programming problem, the constraints are always expressed in the form of:

A bag contains 5 red and 3 black balls. If 2 balls are drawn at random without replacement, the probability that both balls are red is:

If a line makes angles 90°, 135°, 45° with the x, y, z axes respectively, then the direction cosines of the line are: