CBSE 12 Maths Question Paper-2017 Set-1

If A is a 3x3 invertible matrix, and det(A⁻¹) = (det A)^k, what is the value of k?

What value of 'k' makes the function f(x) continuous at x = 0: f(x) = kx/|x| for x<0, and f(x)=3 for x≥0?

Evaluate: ∫ 3x dx from x = 2 to x = 3

A line makes angles 90° and 60° with x and y axes. What is the angle with the z-axis?

What are the diagonal elements of a skew symmetric matrix?

What are the diagonal elements of a skew symmetric matrix? (variant)

Evaluate: ∫ 3x dx from x = 2 to x = 3 (variant)

If A is a 3x3 invertible matrix, and det(A⁻¹) = (det A)^k, what is the value of k? (variant)

What value of 'k' makes the function f(x) continuous at x = 0: f(x) = kx/|x| for x<0, and f(x)=3 for x≥0? (variant)

A line makes angles 90° and 60° with x and y axes. What is the angle with the z-axis? (variant)

What is the integral of 1 / (x^2 + 4x + 8)?

If sin²y + cos(xy) = K, find dy/dx at x = 1, y = π/4.

What is the derivative of f(x) = 4x³ – 18x² + 27x – 7?

What is the direction cosine of a line perpendicular to x and at 60° to y?

If X = [1 2; 3 4] and Y = [5 6; 7 8], find det(XY).

What is the probability of getting a six from a fair die?

Which of the following is true about identity matrix?

Which of the following integrals gives the area under a curve?

Which of the following is NOT a linear programming constraint?

The sum of the probabilities in a probability distribution is always:

The slope of the tangent to y = x² at x = 3 is:

Which of the following is a vector quantity?

The angle between two vectors is 90°, their dot product is:

What is the minimum value of a² + b² when a + b = 10?

Which transformation shifts a graph horizontally?

If x + y = 10, what is the maximum value of xy?

The integral of cos(x) is:

Which of the following is a solution to dy/dx = y?

Which of the following graphs represents a quadratic function?

Which matrix is known as the identity matrix for multiplication?