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Number of circles passing through a given point are ____.
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    infinite
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Number of circles passing through a given point are ____.a)1b)2c)3d)in...
Explanation:

A circle is defined as a set of all points in a plane that are at a given distance from a given point, called the center of the circle.

When a point is given, there are infinite circles that could pass through that point. This is because a circle is defined by its center and radius, and there are infinite points that could serve as the center of a circle passing through the given point.

For example, consider a point P in a plane. We can draw a circle with center P and any positive radius r, and that circle will pass through P. We can also draw a circle with center Q, where Q is any point on the perpendicular bisector of the line segment between P and any other point in the plane, and that circle will also pass through P.

Therefore, the correct answer is option D, infinite.
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Community Answer
Number of circles passing through a given point are ____.a)1b)2c)3d)in...
Infinite
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Number of circles passing through a given point are ____.a)1b)2c)3d)infiniteCorrect answer is option 'D'. Can you explain this answer?
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