question_answer

Let a circle touches to the directrix of a parabola \[{{y}^{2}}=2ax\] has its centre coinciding with the focus of the parabola. Then the point of intersection of the parabola and circle is

A)  \[(a,\,\,-a)\]                   

B)  \[(a/2,\,\,a/2)\]

C)  \[(a/2,\,\,\pm a)\]

D)  \[(\pm \,a,\,\,a/2)\]

E)  None of these