State 'T' for true and 'F' for false.
(i) A segment of a circle is the region between an arc and radius of the circle.
(ii) The line joining the mid-point of a chord to the centre of a circle passes through the mid-point of the corresponding minor arc.
(iii) Angles inscribed in the same arc of a circle are equal.

Options

A. `{:((i),(ii),(iii)""),(F,T,T):}`
B. `{:((i),(ii),(iii)""),(T,F,T):}`
C. `{:((i),(ii),(iii)""),(F,T,F):}`
D. `{:((i),(ii),(iii)""),(T,T,F):}`

Answer

### Step-by-Step Solution:

1. **Statement (i)**: "A segment of a circle is the region between an arc and radius of the circle."
- **Analysis**: This statement is **False**. The correct term for the region between an arc and the radius of a circle is a **sector**. A **segment** of a circle refers to the area enclosed by a chord and the arc that subtends it.
- **Conclusion**: **F**

2. **Statement (ii)**: "The line joining the mid-point of a chord to the centre of a circle passes through the mid-point of the corresponding minor arc."
- **Analysis**: This statement is **True**. When you draw a line from the center of the circle to the midpoint of a chord, it indeed passes through the midpoint of the minor arc corresponding to that chord.
- **Conclusion**: **T**

3. **Statement (iii)**: "Angles inscribed in the same arc of a circle are equal."
- **Analysis**: This statement is **True**. According to the inscribed angle theorem, angles that subtend the same arc at the circumference of the circle are equal.
- **Conclusion**: **T**

### Final Answers:
- (i) F
- (ii) T
- (iii) T

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