The Kerala Board of Public Examinations (KBPE) successfully conducted the Kerala Class 12 Mathematics Exam 2026 on March 17, 2026. Kerala Board Class 12 Mathematics Question Paper with Solution PDF is now available for download.
Students should focus on problem-solving techniques, understanding mathematical formulas, and applying concepts to analytical questions.
- The exam is conducted for a total of 100 marks including theory and internal assessments.
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The question paper covered topics from calculus, algebra, matrices and determinants, vector algebra, three-dimensional geometry, probability, and linear programming.
Kerala Board 2026 Class 12 Mathematics Question Paper with Solution PDF
| Kerala Class 12 Mathematics Question Paper 2026 | Download PDF | Check Solution |
Express the matrix 
as a sum of symmetric and skew-symmetric matrices.
Find the shortest distance between the lines \(\vec{r} = (\hat{i} + 2\hat{j} + 3\hat{k}) + \lambda(\hat{i} - 3\hat{j} + 2\hat{k})\)
and \(\vec{r} = (4\hat{i} + 5\hat{j} + 6\hat{k}) + \mu(2\hat{i} + 3\hat{j} + \hat{k})\).
Solve the LPP graphically: Minimize \(Z = 5x + 10y\) subject to \(x + 2y \le 120\), \(x + y \ge 60\), \(x, y \ge 0\).
Prove that the function \(f(x) = |x|\) is continuous but not differentiable at \(x = 0\).
Evaluate \(\displaystyle \int \frac{dx}{\sqrt{x^2 + 2x + 2}}\).
Find the area of the region bounded by the curve \(y^2 = x\) and the lines \(x = 1\), \(x = 4\) and the \(x\)-axis.
If \(P(E) = 0.6\), \(P(F) = 0.3\) and \(P(E \cap F) = 0.2\), find \(P(E|F)\) and \(P(F|E)\).
Solve the differential equation \(\displaystyle \frac{dy}{dx} + \frac{y}{x} = x^2\).
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