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.

Show that the line 3x-4y+10=0 is tangent to the hyperbola x^2-4y^2=20 . Also find the point of contact.

Solve the following:Show that the line 3x-4y+15=0 is a tangent to the circle x^2+y^2=9 ,Find the point of contact.

Show that the line 2x-y + 2 = 0 is a tangent to the parabola y^2 = 16x . Find the point of contact also.

Show that the line 2x - y+12=0 is a tangent to the parabola y^(2) = 16x . Find the point of contact also.

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

Answer the following:Show that the line 2x+y+6=0 is a tangent to the circle, x^2+y^2+2x-2y-3=0 .Find its point of contact.

Show that the line x - 7y + 5 = 0 is a tangent to the circle x^2+y^2-5x+5y=0 . Find the point of contact. Find also the equation of tangent parallel to the given line.

Show that the line x-y=5 is a tangent to the ellipse 9x^2+16y^2=144 . Find the point of contact.

Show that the line x- y +4=0 is tangent to the parabola y^(2)= 16x . Find the point of contact.