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State 'T' for true and 'F' for false. (...

State 'T' for true and 'F' for false.
(a) Two distinct lines meeting at a point are called concurrent lines.
(b) The centre of a circle is always in its interior.
(c) A line has no end points.

A

`{:("(a) (b) (c) "),("F T F"):}`

B

`{:("(a) (b) (c) "),("F T T"):}`

C

`{:("(a) (b) (c) "),("T F F"):}`

D

`{:("(a) (b) (c) "),("T T T"):}`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to evaluate each statement and determine if it is true (T) or false (F). ### Step-by-Step Solution: 1. **Evaluate Statement (a)**: "Two distinct lines meeting at a point are called concurrent lines." - **Explanation**: Concurrent lines are defined as lines that intersect at a single point. However, the statement uses the term "concrete lines," which is incorrect terminology. The correct term is "concurrent lines." Therefore, this statement is false. - **Result**: (a) F 2. **Evaluate Statement (b)**: "The centre of a circle is always in its interior." - **Explanation**: The center of a circle is defined as the point that is equidistant from all points on the circumference. By definition, the center is located within the circle, making this statement true. - **Result**: (b) T 3. **Evaluate Statement (c)**: "A line has no end points." - **Explanation**: A line is defined in geometry as a straight one-dimensional figure that extends infinitely in both directions. Since it does not have endpoints, this statement is true. - **Result**: (c) T ### Final Answers: - (a) F - (b) T - (c) T ### Summary: - (a) F - (b) T - (c) T
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