Show that the line `7y-x=5` touches the circle `x^2+y^2-5x+5y=0` and find the equation of the other parallel tangent

7y-x-5=0 touches the circle x^2+y^2-5x+5y=0. The equation of other parallel tangent is

Show that the line 7x-3y-1=0 touches the circle x^2+y^2+5x-7y+4=0 at point (1,2)

Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(2) -6x + 4y + 12 = 0

Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(2) -6x + 4y + 12 = 0

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.

A line parallel to the line x-3y=2 touches the circle x^(2)+y^(2)-4x+2y-5=0 at the point

Find the parametric equation of the circles : 2x^2 + 2y^2-5x-7y-3=0 .

The line 5x-y=3 is a tangent to a circle at the point (2,7) and its centre is on theline x+2y=19. Find the equation of the circle.