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Q.

State whether the following statement is true and or false.
Only one line can pass through a single point.

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a

True

b

False

answer is B.

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Detailed Solution

Here, we have to find whether only one line can pass through a single point or not.
Euclid’s Postulate 1: A straight line may be drawn from any one point to any other point.
Let’s consider point O.
Since only one fixed point is given, the second point can be any.
Therefore using the Euclid’s Postulate 1, an infinite number of straight lines can be drawn that pass through point O.
Question Image

Question Image

Therefore, an infinite number of straight lines can be passed through a single point.
Thus, the given statement is false.
Hence, option (2) is correct.

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