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

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

Solution

x2+y2-10x-10y+41=0

A(5,5),R1=3

x2+y2-22x-10y+137=0

B(11,5),R2=3

AB=6=R1+R2

Touch each other externally

circles have only one meeting point.

Asked in: JEE Main 2021 (18 Mar Shift 1)

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