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 ______

Find k , if the line y = 2x + k touches the circle x^(2) + y^(2) - 4x - 2y =0

Find the point of intersection of the circle x^(2)+y^(2)-3x-4y+2=0 with the x -axis.

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 line 3x-2y=k meets the circle x^(2)+y^(2)=4r^(2) at only one point, if k^(2)=

If the line 3x+4y=k is tangent to the circle x^2+y^2-2x-4y+4=0 , then number of integral values of k is

The number of intergral values of k if x coordinate of the point of intersection of the line 5x+7y=12and y=kx+2 is also an integer is