The line `L : 12x - 16y -5 = 0` intersects the circle `S :4x^2 + 4y^2- 8x - 16y -5 = 0` at A and B. If tangentsdrawn at the points A and B meet at C, then the correct option(s) is/are

The line 4x+4y-11=0 intersects the circle x^(2)+y^(2)-6x-4y+4=0 at A and B. The point of intersection of the tangents at A,B is

If the area of the circle 4x^(2) + 4y^(2) + 8x - 16y + lambda = 0 is 9 pi sq units, then the value of lambda is

The line x+2y+a=0 intersects the circle x^2+y^2-4=0 at two distinct points A and B. Another line 12x-6y-41=0 intersects the circle x^2+y^2-4x-2y+1=0 at two distincts points C and D. The value of 'a' so that the line x+2y+a=0 intersects the circle x^2+y^2-4=0 at two distinct points A and B is

if the line 3x-4y-k=0 touches the circle x^(2)+y^(2)-4x-8y-5=0 at (a,b), find (k+a+b)/5is

The least distance of the line 8x -4y+73=0 from the circle 16x^2+16y^2+48x-8y-43=0 is

The least distance of the line 8x -4y+73=0 from the circle 16x^2+16y^2+48x-8y-43=0 is