The circle `(x-h)^2+(y-k)^2=r^2` toches x-axis at `(1,0) "where" k gt 0 , x+y=0` intersect circle at two points chord length 2 unit then find the value of `h+k+r`

x ^(2) + hxy + y^(2) -6x -2y +k=0 is the equation of the circle and 2 is the radius of the circle, then find the values of h and k ?

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 circle x^(2) + y^(2) - kx - 12y + 4 = 0 touches the X-axis then : k =

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

The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)-2x-4=0 at the points A and B. If the circle x^(2)+y^(2)-4x-k=0 passes through A and B then the value of k , is

The circle x^(2)+y^(2)-6x-10y+k=0 does not touch or intersect the coordinate axes,and the point (1,4) is inside the circle.Find the range of value of k.

If the circle x^(2)+y^(2)=1 is completely contained in the circle x^(2)+y^(2)+4x+3y+k=0, then find the values of k.

If the line x+2y=3 cuts a chord of length r unit with the circle x^2+y^2=r^2 then find r^2 .

If the graph of equation 2x+ky=10k intersect x-axis at point (5,0). Find value of k .