List of top Mathematics Questions asked in Maharashtra Board Class XII Exam

The solution of the differential equation \( \frac{dx}{dt} = x \log \frac{x}{t} \) is
Write the degree of the differential equation \( \frac{d^2y}{dx^2} + \frac{dy}{dx} = x \).
Write \( \int \cot{x} \, dx \).
The area of the triangle with vertices \( (1, 2, 0), (1, 0, 2) \), and \( (0, 3, 1) \) in square units is
If \( y \) is a function of \( x \) and \( \log(x + y) = 2xy \), then the value of \( y'(0) \) is
The integral of \( \cos^2x \) is
If the corner points of the feasible solution are \( (0, 10), (2, 2) \), and \( (4, 0) \), then the point of minimum \( z = 3x + 2y \) is