If the equation `px^(3)+3qx^(2)y+3rxy^(2)+sy^(3)=0`and `(p,q,r,s!=0)` represents three coincident lines,then

If the equation px^(3)+3qx^(2)y+3rxy^(2)+sy^(3)=0 (p,q,r,s!=0) represents three coincident lines,then (A) (p)/(q)=(q)/(r)=(r)/(s) (B) pr=qs (C) q=s (D) p=r

If the equation ax^(3)+3bx^(2)y+3cxy^(2)+dy^(3)=0 represents three coincident lines,then :

If the equation px^(2)+(2-q)xy+3y^(2)-6qx+30y+6q=0 represents a circle,then find the values of pand q.

If the equation , px^(2) + (2-q) xy + 3y^(2) - 6qx + 30y +6y = 0 represents a circle , then : (p,q) -=

If the equation px^(2)-8xy+3y^(2)+14x+2y+q=0 represents a pair of perpendicular lines, then

The equation (10px^(2)-qx+r)(px^(2)-qx-5r)(5px^(2)-qx-r)=0(pqr!=0) has atleast

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then

If one of the lines given by the equation 2x^(2)+pxy+3y^(2)=0 coincide with one of those given by 2x^(2)+qxy-3y^(2)=0 and the other lines represented by them are perpendicular , then value of p+q is

Let the equation x^(2)+y^(2)+px+(1-p)y=0 represent circles of varying radius r in (0,5] . Then the number of elements in the set S={q : q =p^(2) and q is an integer } is __________.