List of top Questions asked in Maharashtra Class XII- 2025

A string of length 2 m is vibrating with 2 loops. The distance between its node and adjacent antinode is ............
If the mean and variance of a binomial distribution are 18 and 12 respectively, then \( n \) is equal to .......
State whether the following statements are true or false:
Every function of management is not based on planning.
Rajaram produced 25 quintals of wheat in his field, from it he kept aside 2 quintals of wheat for his own family use.
In Bernoulli's theorem, which of the following is constant?
At what temperature the surface tension of a liquid becomes zero?
What is Brewster's law? Derive the formula for Brewster's angle.
Draw neat, labelled diagram of Relationship of Geography with Other Subjects
Calculate the electric field intensity at a point just near the surface of a charged plane sheet, measured from its mid-point. [ \( \sigma = 8.85 \, \mu C/m^2 \) ]
Give geographical reasons
Agriculture is practised on a large scale in India.
State any four advantages of light emitting diode (LED).
Imagine, you have recently attended a group discussion as an audience on the topic ‘Importance of English Language.’ Four of your friends participated in the discussion. Write the group discussion in the form of dialogues. Provide suitable dialogues for each participant to express their opinions on the given topic.
Electric potential 'V' at a distance 'r' from a point charge is directly proportional to ............
Find the adjoint of the matrix \( \left[ \begin{matrix} 2 & -2 \\ 4 & 3 \end{matrix} \right] \).
Write the order of the differential equation \[ \sqrt{1 + \left( \frac{dy}{dx} \right)^2} = \left( \frac{d^2y}{dx^2} \right)^{\frac{3}{2}}. \]
The value of \( \int x^x(1 + \log x) \, dx \) is equal to ...........
If \(|\vec{a}| = 5\), \(|\vec{b}| = 13\), and \(|\vec{a} \times \vec{b}| = 25\), then \(|\vec{a} \cdot \vec{b}|\) is equal to ........
Speech:
Imagine, you have been selected to represent your Junior College for an Intercollegiate Elocution Competition on the topic ‘Soldiers and Farmers: the Real Heroes.’ Draft a speech in about 100/150 words on this topic.
Draw a neat and labelled circuit diagram for a full wave rectifier.
What is value of B called, when H = 0 is in the hysteresis loop?
Write the condition for the function \( f(x) \), to be strictly increasing, for all \( x \in \mathbb{R} \).
The area bounded by the line \( y = x \), X-axis and the lines \( x = -1 \) and \( x = 4 \) is equal to .......... (in square units).
Let \( f(1) = 3 \), \( f'(1) = -\frac{1}{3} \), \( g(1) = -4 \), and \( g'(1) = -\frac{8}{3} \). The derivative of \( \sqrt{[f(x)]^2 + [g(x)]^2} \) w.r.t. \( x \) at \( x = 1 \) is ........
State the formula for angle of banking.
Depository Receipt traded in USA is called as Global Depository Receipt.