(c) it is rotated about a diameter
(d) it is deformed
When translated or rotated about its axis, the magnetic flux through the loop does not change; hence, no emf is induced in the loop.
When rotated about a diameter, the magnetic flux through the loop changes and emf is induced. On deforming the loop, the area of the loop inside the magnetic field changes, thereby changing the magnetic flux. Due to the change in the flux, emf is induced in the loop.