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A particle moves in x-y plane according to rule x = a sinwt and y = a coswt. The particle follows[AIPMT (Mains)-2010](1) An elliptical path(2) A circular path(3) A parabolic path(4) A straight line path inclined equally to x and y-axes​

Answer»

option (4) is correctExplanation:since it is given that A particle MOVES in x-y plane according to rulex = a sinwt................(1) and y = a coswt.....................(2) we know that resulatant vector is given aswhere α is the angle between x and y axes which is 90°so,...............................(3)PUT x and y from (1) and (2) in (3)we get,as   so r=a........which is a straight LINE path inclined EQUALLY to x and y-axes.



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