The line `3x -4y = k` will cut the circle `x^(2) + y^(2) -4x -8y -5 = 0` at distinct points if

The number of intergral values of k for which the line, 3x+4y=k intersects the circle, x^(2)+y^(2)-2x-4y+4=0 at two district points is ______

If the line 3x-4y=lamda cuts the circle x^(2)+y^(2)-4x-8y-5=0 in two points then limits of lamda are

If the line 3x-4y=lamda cuts the circle x^(2)+y^(2)-4x-8y-5=0 in two points then limits of lamda are

The interval in which the value of lambda should lie if the line 3x-4y=lambda cuts the circle x^(2)+y^(2)-4x-8y=5 in real points is

The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

If the line 3x - 4y - k = 0 (k gt 0) touches the circle x^(2)+y^(2)-4x-8y-5 =0 at (a, b) then k + a + b is equal to :-

If the line 3x-4y-k=0 touches the circle x^(2)+y^(2)-4x-8y-5=0 at (a,b), then the positive integral value of (k+a+b)/(5)=

The line 4y-3x+lambda=0 touches the circle x^(2)+y^(2)-4x-8y-5=0 then lambda=

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