Show that the line 3x-4y=1 touches the circle `x^(2)+y^(2)-2x+4y+1=0`. Find the coordinates of the point of contact.

Show that the line y= x + sqrt(5/6 touches the ellipse 2x^2 + 3y^2 = 1 . Find the coordinates of the point of contact.

Show that the line y= x + sqrt(5/6 touches the ellipse 2x^2 + 3y^2 = 1 . Find the coordinates of the point of contact.

Show that the line 3x+4y +20=0 touches the circle x^(2) + y^(2) =16 and find the point of contact

Show that the straight line x + y=1 touches the hyperbola 2x ^(2) - 3y ^(2)= 6. Also find the coordinates of the point of contact.

If the line x + y = 1 touches the parabola y^2-y + x = 0 , then the coordinates of the point of contact are:

If the line x+y=1 touches the parabola y^(2)-y+x=0 ,then the coordinates of the point of contact are:

Show that the line x + y + 1=0 touches the hyperbola x^(2)/16 -y^(2)/15 = 1 and find the co-ordinates of the point of contact.

The tangent to the circle x^(2)+y^(2)=5 at (1, -2) also touches the circle x^(2)+y^(2)-8x+6y+20=0. Find the coordinates of the corresponding point of contact.