CBSE Class 12 Maths Question Paper with Solution (2024-2015): Download PDF

CBSE Class 12 Maths Question Papers with Solutions PDF are provided in this article. Students can download set-wise Mathematics Question Paper solved PDF for the year 2024, 2023, 2022, 2020, and more through the links provided below. The theory exam carries 80 marks and 20 marks are allotted to the internal assessment.

CBSE Class 12 Maths Question Paper 2024

You can find the links to download set-wise CBSE Class 12 Maths Question Paper 2024 with solutions from the table below:

Maths Important Questions Class 12

Here are some important questions for CBSE Class 12 Maths board exam scheduled on March 9, 2024:

• Check whether the relation R defined on the set A = {1, 2, 3, 4, 5, 6} as R = {(a, b): b = a + 1} is reflexive, symmetric or transitive. (Relations and Functions)
• If R is a relation defined on the set of natural numbers N as follows:
  R = {(x, y) : x ∈ N, y ∈ N and 2x + y = 24}, then find the domain and range of the relation R . Also, find whether R is an equivalence relation or not. (Relations and Functions)
• If tan^-1 (√3) + cot^-1 x = π2‚ then find the value of x. (Inverse Trigonometric Functions)
• Prove that cot^-1(1+sinx√+1−sinx√1+sinx√−1−sinx√) = x2, 0 < x < π2, or x ∈ π4 (Inverse Trigonometric Functions)
• If A is a square matrix such that A² = I, then find the simplified value of (A – I)³ + (A + I)³ – 7A. (Matrices)
• The elements a of a 3 × 3 matrix are given by a_ij = 12|- 3i + j|. Write the value of element a₃₂. (Matrices)
• If A and B are square matrices of the same order 3, such that |A| = 2 and AB = 27. Write the value of |B|. (Determinants)
• Prove that y = (4sinθ/2+cosθ) – θ is an increasing function in (0, π2). (Application of Derivatives)
• Find the value of ∫ sin x ∙ log cos x dx. (Integrals)
• Evaluate ∫∞1 ( |x – 1| + |x – 2| + |x – 4|) dx. (Integrals)
• Find the area of the region lying above X-axis and included between the circle x² + y² = 8x and inside the parabola y² = 4x (Application of Integrals)
• Using integration, prove that the curves y² = 4x and x² = 4y divide the area of the square bounded by x = 0, x = 4, y = 4 and y = 0 into three equal parts. (Application of Integrals)
• Form the differential equation representing the family of curves y = e^2x(a + bx), where ‘a’ and ‘b’ are arbitrary constants. (Differential Equations)
• Find the general solution of the differential equation dy/dx = e^x+y. (Differential Equations)

CBSE Class 12 Maths Question Paper 2023 Solved PDF

Students can download CBSE Class 12 Maths Question Paper 2023 solved PDF from the links below:

CBSE Class 12 Maths Question Paper 2022 Solved PDF

Students can download CBSE Class 12 Maths Question Paper 2022 solved PDF from the links below: