If a variable line `3x+4y-lamda=0` is such that the two circles `x^(2)+y^(2)-2x-2y+1=0 " and" x^(2)+y^(2)-18x-2y+78=0` are on its opposite sides, then the set of all values of `lamda` is the interval

Number of integral values lambda for which the varaible line 3x+4y-lambda = 0 lies between the circles x^2 + y^2 - 2x - 2y + 1 = 0 and x^2 + y^2 - 18x - 2y + 78 = 0 , without intersecting any circle at two distinct points.

Number of integral values lambda for which the varaible line 3x+4y-lambda = 0 lies between the circles x^2 + y^2 - 2x - 2y + 1 = 0 and x^2 + y^2 - 18x - 2y + 78 = 0 , without intersecting any circle at two distinct points.

For the circle x^(2)+y^(2)-2x-4y-4=0 ,the lines 2x+3y-1=0,2x+y-1=0 are

For the circle x^(2)+y^(2)-2x-4y-4=0 , then lines 2x+3y-1=0, 2x+y+5=0 are

For the circle x^(2)+y^(2)-2x-4y-4=0 , then lines 2x+3y-1=0, 2x+y+5=0 are

Two circles c_1:x^2+y^2-4x-6y-3=0 and c_2:x^2+y^2+2x-14y+lamda meet at two distinct points then find the value of lamda .

If the variable line 3x-4y+k=0 lies between the circles x^(2)+y^(2)-2x-2y+1=0 and x^(2)+y^(2)-16x-2y+61=0 without x^(2)+y^(2)-16x-2y+61=0 without intersecting or touching either circle,then the range of k is (a,b) where a,b in I Find the value of (b-a).