Choose the correct statement about two circles whose equations are given below: x 2 + y 2 - 10 x - 10 y + 41 = 0 x 2 + y 2 - 22 x - 10 y + 137 = 0

Question

Choose the correct statement about two circles whose equations are given below: x 2 + y 2 - 10 x - 10 y + 41 = 0 x 2 + y 2 - 22 x - 10 y + 137 = 0, circles have same centre, circles have no meeting point, circles have only one meeting point, circles have two meeting points

MARKS App · Accepted Answer

x 2 + y 2 - 10 x - 10 y + 41 = 0 A ( 5 , 5 ) , R 1 = 3 x 2 + y 2 - 22 x - 10 y + 137 = 0 B ( 11 , 5 ) , R 2 = 3 A B = 6 = R 1 + R 2 Touch each other externally ⇒ circles have only one meeting point.

Search any question & find its solution

Looking for more such questions to practice?