If the two circles `(x+1)^2+(y-3)=r^2 and x^2+y^2-8x+2y+8=0` intersect in two distinct point,then (A) `r > 2` (B) `2 < r < 8` (C) `r < 2` (D) `r=2`

If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct points , then

The two circles x^(2)+y^(2)=r^(2) and x^(2)+y^(2)-10x+16=0 intersect at two distinct points.Then

If the two circles (x-2)^(2)+(y+3)^(2) =lambda^(2) and x^(2)+y^(2) -4x +4y-1=0 intersect in two distinct points then :

The number of integral values of r for which the circle (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect at two distinct points is ____

Two circles centres A and B radii r_1 and r_2 respectively. (i) touch each other internally iff |r_1 - r_2| = AB . (ii) Intersect each other at two points iff |r_1 - r_2| ltAB lt r_1 r_2 . (iii) touch each other externally iff r_1 + r_2 = AB . (iv) are separated if AB gt r_1 + r_2 . Number of common tangents to the two circles in case (i), (ii), (iii) and (iv) are 1, 2, 3 and 4 respectively. If circles (x-1)^2 + (y-3)^2 = r^2 and x^2 + y^2 - 8x + 2y + 8=0 intersect each other at two different points, then : (A) 1ltrlt5 (B) 5ltrlt8 (C) 2ltrlt8 (D) none of these

The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=a^(2) intersect at two distinct point if