This Question can be easily explained using one of the basic property:
A Unique Circle can be drawn using 3 non-collinear points.
As we need the radius of the circle, we need to find the relative position of points wrt each other.
Let us suppose that point C (0,0)
Statement 1: Points C (0,0), A(15,8), D(0,-k) where k is length of CD
Since all points are not defined , circle is not defined.
NOT SUFFICIENTStatement 2: Points C (0,0), D(0,-12), point A not defined.
NOT SUFFICIENTcombining Statement 1& 2 , we get
Points are A(15,8) C(0,0) and D(0, -12), hence a unique circle can be drawn and its area can be calculated.
SUFFICIENT. Answer C(Since, It is a DS Question, there is no need to find the exact area, we need to know whether it can be determined uniquely or not)
_________________