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`

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

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

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

If the circles x^(2)+y^(2) +5Kx+2y + K=0 and2(x^(2)+y^(2))+2Kx +3y-1=0, (KinR) , intersect at the points P and Q, then the line 4x + 5y - K = 0 passes through P and Q, for x^(2)+y^(2)-16x-20y+164=r^(2) and (x-4)^(2)+(y-7)^(2) = 36 intersect at two distinct points, then

Find the value of a if the curves ay+x^(2)=7 and x^(3)=y intersect at right angle at Point (1,1)

Circle (x 1)^2 (y 2)^2 = r^2 & x^2 y^2 - 4x - 4y 4 = 0 Cuts each other at two different points then value of r is

If one end of a diameter of the circle x^2 + y^2 - 8x - 14y+c=0 is the point (-3, 2) , then its other end is the point. (A) (5, 7) (B) (9, 11) (C) (10, 11) (D) (11, 12)