the answer is B(11, 2sqrt(12) )
proof
the main equation of the circle is (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center
so if the center is the origin, it is O(0,0), and the equation becomes
(x)²+(y)²=R²
and the circle passes through the point (-5,2) so we can write
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13
and for B(11, 2sqrt(12) ) 11²+ (2sqrt(12))²= 121 + 48= 169= 13
it is checked.
