question_answer

A cyclist moves from a certain point P and goes round a circle of radius a and reaches Q, exactly at the other side of the point P as shown in figure. The displacement of the cyclist would be                    

A) \[\pi a\]                        

B) \[2\pi a\]               

C)                    2a                

D)        \[2\pi /a\]                     

Correct Answer: C

Solution :

Displacement of the cyclist = Shortest distance between P and Q \[=PO+OQ=a+a=2a\]