question_answer

Coordinates of the foot of the perpendicular drawn from      (0,0) to the line joining \[(a\cos \alpha ,a\sin \alpha )\] and \[(a\cos \beta ,a\sin \beta )\] are  [IIT 1982]

A)            \[\left( \frac{a}{2},\frac{b}{2} \right)\]

B)            \[\left[ \frac{a}{2}(\cos \alpha +\cos \beta ),\frac{a}{2}(\sin \alpha +\sin \beta ) \right]\]

C)            \[\left( \cos \frac{\alpha +\beta }{2},\sin \frac{\alpha +\beta }{2} \right)\]          

D)            None of these