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=7 touches the circle x^2+y^2-4x-6y-12=0 , then the co-ordinates of the point of contact are

The line x - y + 2 = 0 touches the parabola y^2 = 8x at the point

If a circle with the point (-1, 1) as the centre touches the line x + 2y + 9 = 0, then the co-ordinates of the point of contact are:

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.

Show that the line x + y = 1 touches the parabola y = x-x ^(2).

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