Question

Choose the correct statement about two circles whose equations are given below : 

x² + y² - 10x - 10y + 41 = 0

x² + y² - 22x - 10y + 137 = 0

(1) circles have same centre

(2) circles have no meeting point

(3) circles have only one meeting point

(4) circles have two meeting points

Answer 1

Correct option is (3) circles have only one meeting point

Touch each other externally

⇒ circles have only one meeting point.