How many perpendicular bisectors can be drawn onto a line segment AB from an external point C?

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Either 0 or 1

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Neither 0 nor 1

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Solution

The correct option is C Either 0 or 1
For any given line segment, there can be only one perpendicular bisector. Now, if the given point lies on this perpendicular bisector, then the answer is 1. Else, the answer is 0.
Since the position of this point is not given, we cannot say definitively whether the answer is 0 or 1. But there are no other possibilities.

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