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JEE Main202117 Mar 2021Morning ShiftMathematicsCircleActual

Choose the incorrect statement about the two circles whose equations are given below: x 2 + y 2 - 10 x - 10 y + 41 = 0 and x 2 + y 2 - 16 x - 10 y + 80 = 0

Options

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

Correct answer

B. Both circles' centres lie inside region of one another.

Step-by-step solution

r 1 = 3 , c 1 ( 5 , 5 ) r 2 = 3 , c 2 ( 8 , 5 ) C 1 C 2 = 3 , r 1 = 3 , r 2 = 3

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