A particle is simultaneously subjected to three SHM, all the same frequency and in the same direction. If the amplitude are 0.5 mm , 0.4 mm and 0.3 mm respectively and the phase difference between 1st and 2nd is 45° and between the second and the third is 30° , then
(a) The amplitude of resultant between 1st and 2nd motion is 0.5 mm
(b) The phase difference of the resultant of 1st and 2nd with 1st motion is 20°
(c) The amplitude of the resultant displacement is 1.03 mm
(d) The phase of the resultant motion relative to first motion is 33.7°