Graphs of Motion question from JEE Main 2025 (3 Apr, Shift 1)

Answer: (c)

1. (A) Phase increasing linearly with time ($\phi = \omega t + \phi_0$) is possible, e.g. SHM.
2. (B) A closed $v$-$x$ loop (ellipse/circle) is SHM along a line; clockwise sense is correct ($v > 0$ while $x$ increases). Possible.
3. (C) A $v$-$t$ circle gives two velocities at one instant and needs time to go backward. Not possible.
4. (D) Total distance never decreasing with time is possible.
5. So A, B and D only. So the answer is (c).