If the line 5x+12y-9=0 is a tangent to the hyperbola `x^(2)-9y^(2)=9` then its point of contact is

Show that the line y=2x-4 is a tangent to the hyperbola (x^(2))/(16)-(y^(2))/(48)=1. Find its point of contact.

if 5x+9=0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144, then its corresponding focus is

The foci of the hyperbola 4x^(2)-9y^(2)-1=0 are

The foci of the hyperbola 4x^(2)-9y^(2)-1=0 are

Tangents which are parrallel to the line 2x+y+8=0 are drawn to hyperbola x^(2)-y^(2)=3 . The points of contact of these tangents is/are

If 5x +9 =0 is the directtrix of the hyperbola 16x^(2) -9y^(2)=144, then its corresponding focus is

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then lambda =