jee-main 2019 Q71

jee-main · India · session1_09jan_shift2 Circles Intersection of Circles or Circle with Conic
If the circles $x^2 + y^2 - 16x - 20y + 164 = r^2$ and $(x-4)^2 + (y-7)^2 = 36$ intersect at two distinct points, then:
(1) $r > 11$
(2) $0 < r < 1$
(3) $1 < r < 11$
(4) $r = 11$
If the circles $x^2 + y^2 - 16x - 20y + 164 = r^2$ and $(x-4)^2 + (y-7)^2 = 36$ intersect at two distinct points, then:\\
(1) $r > 11$\\
(2) $0 < r < 1$\\
(3) $1 < r < 11$\\
(4) $r = 11$