If the circle `x^(2)+y^(2)-10x+16y+89-r^(2)=0` and `x^(2)+y^(2)+6x-14y+42=0` have common points, then the number of possible integral values of r is equal to

If the two circles x^(2) + y^(2) =4 and x^(2) +y^(2) - 24x - 10y +a^(2) =0, a in I , have exactly two common tangents then the number of possible integral values of a is :

If x^(2)+y^(2)-2x-6y+10-r^(2)=0 and x^(2)+y^(2)+6x=0 intersect orthogonal to each other,then the value of r

If the two circle x^(2) + y^(2) - 10 x - 14y + k = 0 and x^(2) + y^(2) - 4x - 6y + 4 = 0 are orthogonal , find k.

If the circle (x-6)^(2)+y^(2)=r^(2) and the parabola y^(2)=4x have maximum number of common chords, then the least integral value of r is __________ .

If the circle (x-6)^(2)+y^(2)=r^(2) and the parabola y^(2)=4x have maximum number of common chords, then the least integral value of r is __________ .

If the circle (x-6)^(2)+y^(2)=r^(2) and the parabola y^(2)=4x have maximum number of common chords, then the least integral value of r is __________ .