Fill in the blanks.
(i) Perpendicular bisector of the diameter of a circle passes through the `ul(P)` of the circle.
(ii) If B is image of A in line l and D is image of C in line l, then AC`=ul(Q)`
(iii) Angle bisector is a ray which divides the angle in `ul(R)` equal parts.

Options

A. `{:(P" "Q" "R),("centre"" "BD" "2):}`
B. `{:(P" "Q" "R),("centre"" "AD" "1):}`
C. `{:(P" "Q" "R),("centre"" "AB" "1):}`
D. `{:(P" "Q" "R),("centre"" "BC" "2):}`

Answer

To solve the given fill-in-the-blank questions, we will analyze each statement step by step and fill in the appropriate terms.

### Solution:

1. **First Statement:**
- The statement is: "Perpendicular bisector of the diameter of a circle passes through the ___ of the circle."
- To understand this, we know that the diameter of a circle is a straight line that passes through the center of the circle and divides it into two equal halves. The perpendicular bisector of any line segment, including a diameter, will always pass through the midpoint of that segment.
- Since the diameter is a line that passes through the center, the perpendicular bisector will also pass through the center of the circle.
- **Fill in the blank:** Center

2. **Second Statement:**
- The statement is: "If B is the image of A in line l and D is the image of C in line l, then AC = ___."
- Here, we are dealing with reflections across a line (line l). The property of reflections states that the distance from a point to the line is equal to the distance from the image of that point to the line.
- Therefore, if A and C are two points, and B and D are their respective images, the distance AC will equal the distance BD.
- **Fill in the blank:** BD

3. **Third Statement:**
- The statement is: "Angle bisector is a ray which divides the angle in ___ equal parts."
- An angle bisector is defined as a ray that divides an angle into two equal parts. This means that if we have an angle θ, the angle bisector will create two angles, each measuring θ/2.
- **Fill in the blank:** Two

### Final Answers:
(i) Center
(ii) BD
(iii) Two