If the circles `x^2+y^2-16x-20y+164=r^2` and `(x-4)^2+(y-7)^2=36` intersect at two points then (a) `1ltrlt11` (b) `r=11` (c) `rgt11` (d) `0ltrlt1`

If the circles x^(2)+y^(2)-16x-20y+164=r^(2) and (x-4)^(2)+(y-7)^(2)=36 intersect at two points then (a) 1 11(d)0

The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at 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+1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect at two distinct point,then (A) r > 2 (B) 2 < r < 8 (C) r < 2 (D) r=2

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+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 the circles (x-1)^(2)+(y-3)^(2)=4r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct points, then show that 1ltrlt 4 .

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

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

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