question_answer

If \[\left( \alpha \,\,,\beta  \right)\] is a point on the circle whose centre is on the x-axis and which touches the line \[x+y\text{ =}0\] at (2, -2), then the greatest value of \[\alpha \] is

A)  \[4-\sqrt{2}\]    

B)  6            

C)  \[4+\sqrt{2}\]                          

D)  None of these