List of top Questions asked in CBSE CLASS XII

Identify the ruler of India from the sixteenth century with the following information and choose the correct option:
- He went on a pilgrimage to Ajmer fourteen times.
- He sought blessings for new conquests and the birth of sons from Ajmer Sharif.

Who among the following included the composition of Guru Tegh Bahadur ji in the Guru Granth Sahib?

Which one of the following dynasties did Queen Prabhavati belong to?

Which one of the following was a distinctive feature of Harappan architecture?

Which one of the following is a correct statement regarding the codes of social behaviour as laid down in Dharamasutras and Dharmashastras during the period of Mahabharata?

Find: \( \int \frac{5x}{(x + 1)(x^2 + 9)} dx \).

If A denotes the set of continuous functions and B denotes the set of differentiable functions, then which of the following depicts the correct relation between set A and B?

f and g are continuous functions on interval \( [0, a] \). Given that \( f(a - x) = f(x) \) and \( g(x) + g(a - x) = a \), show that \( \int_{0}^{a} f(x) g(x) dx = \frac{a}{2} \int_{0}^{a} f(x) dx \).

Evaluate: \( \int_{0}^{\pi} \frac{\sin 2px}{\sin x} dx \), \( p \in N \).

Prove that \( f : N \rightarrow N \) defined as \( f(x) = ax + b \) (\( a, b \in N \)) is one-one but not onto.

The feasible region along with corner points for a linear programming problem are shown in the graph. Write all the constraints for the given linear programming problem.

The integral \( \int \frac{dx}{\sin^2 x \cos^2 x} \) is equal to

The principal value of \( \sin^{-1} \left( \cos \frac{43\pi}{5} \right) \) is

In the following probability distribution, the value of p is:

If \( \vec{PQ} \times \vec{PR} = 4 \hat{i} + 8 \hat{j} - 8 \hat{k} \), then the area \( (\triangle PQR) \) is

The values of \(x\) for which the angle between the vectors \( \vec{a} = 2x^2 \hat{i} + 4x \hat{j} + \hat{k} \) and \( \vec{b} = 7 \hat{i} - 2 \hat{j} + x \hat{k} \) is obtuse, is:

The cloning site present in the \( \textit{rop}\) site of \(\textit{E. coli}\) cloning vector pBR322 is:

Assertion (A): In dihybrid crosses involving sex-linked genes in \(\textit{Drosophila}\), generation of non-parental gene combinations are observed
Reason (R): Two genes present on different chromosomes show linkage and recombination in \(\textit{Drosophila.}\)

Study the given molecular structure of a double-stranded polynucleotide chain of DNA and answer the questions that follow.

How is the interaction between \(\textit{Ophrys}\) and its specific bee pollinator one of the best examples of co-evolution? Explain.

The basic scheme of the essential steps involved in the process of recombinant DNA technology is summarised below in the form of a flow diagram. Study the given flow diagram and answer the questions that follow.