Three distinct lines are drawn in a plane. Suppose there exist exactly n circles with non-zero radius inthe plane tangent to all the three lines, then the possible values of n is/are

Let L_1, L_2, L_3 be three distinct lines in a plane P and another line L, is equally inclined with these three lines. Statement-1: The line L is normal to the plane P. because Statement-2: if non zero vector vec V is equally inclined to three non zero coplanar vector vec V_1, vec V_2, vec V_3 then the vector vec V is normal to the plane of vec V_1, vec V_2 and vec V_3

25 lines are drawn in a plane. Such that no two of them are parallel and no three of them are concurrent. The number of points in which these lines intersect, is:

25 lines are drawn in a plane. Such that no two of them are parallel and no three of them are concurrent. The number of points in which these lines intersect, is:

In the xy-plane , a circle with center (6,0) is tangent to the line y=x. what is the radius of the circle ?