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

Correct answer: circles have no meeting point

Solution

The two circles do not intersect because the distance between their centers is greater than the sum of their radii, indicating that they are separate from each other.

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