List of top Questions asked in Kerala Plus Two(Class 12)- 2026

If $P(E) = 0.6$, $P(F) = 0.3$ and $P(E \cap F) = 0.2$, find $P(E|F)$ and $P(F|E)$.
In a distribution exactly normal, 7% of the items are under 35 and 89% are under 63. Find the mean and standard deviation of the distribution.
Express the matrix $A = \begin{bmatrix} 2 & -2 & -4 \\ -1 & 3 & 4 \\ 1 & -2 & -3 \end{bmatrix}$ 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 $\vec{r} = (4\hat{i} + 5\hat{j} + 6\hat{k}) + \mu(2\hat{i} + 3\hat{j} + \hat{k})$.
Evaluate $\displaystyle \int \frac{dx}{\sqrt{x^2 + 2x + 2}}$.
Solve the differential equation $\displaystyle \frac{dy}{dx} + \frac{y}{x} = x^2$.
Find the area of the region bounded by the curve $y^2 = x$ and the lines $x = 1$, $x = 4$ and the $x$-axis.
Name the two approaches on which theories of intelligence can be broadly classified.
Enumerate any three types of groups.
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 $x = 0$.
Write the formula for finding IQ.
List out various levels of intellectual deficiencies.
Briefly explain the theory of multiple intelligence by Gardner.
What is trait? Explain Cattell’s trait theory.
Describe General Adaptation Syndrome suggested by Selye.
Discuss the main components of an attitude.
Describe Freud’s Psychosexual stages of personality development.
Explain the three stages involved in GAS.
Prepare short notes on dissociative disorders.
We can learn about the process of attitude formation through various methods. Explain any three.
Name two systems used for the classification of psychological disorders.
What are the various sources of prejudice?
What is group polarisation?
Identify any four alternative therapy techniques for treating psychological distress.