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Question: Answered & Verified by Expert

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

MathematicsCircleJEE MainJEE Main 2021 (17 Mar Shift 1)
Options:
  • A Distance between two centres is the average of radii of both the circles.
  • B Both circles' centres lie inside region of one another.
  • C Both circles pass through the centre of each other.
  • D Circles have two intersection points.
Solution:
2527 Upvotes Verified Answer
The correct answer is: Both circles' centres lie inside region of one another.

r1=3,c1(5,5)

r2=3,c2(8,5)

C1C2=3,r1=3,r2=3

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