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

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

x2+y2-10x-10y+41=0 and x2+y2-16x-10y+80=0

  1. Distance between two centres is the average of radii of both the circles.
  2. Both circles' centres lie inside region of one another.
  3. Both circles pass through the centre of each other.
  4. Circles have two intersection points.

Solution

r1=3,c1(5,5)

r2=3,c2(8,5)

C1C2=3,r1=3,r2=3

Asked in: JEE Main 2021 (17 Mar Shift 1)

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