List of top Mathematics Questions on Calculus asked in IIT JAM MA

If the function \( f(x) \) satisfies \[ f'(x) = f(x) - \pi x + \pi, \] then the possible value of \( f(1) \) is

Given \[ y = -3x - 3 + m e^{2x} \] Find the Orthogonal Trajectories (O.T.).

If \[ f(x) = \big( f(x) - \pi x \big) + \pi, \] then the possible value(s) of \( f(3) - f(2) \) is/are: