State which of the following statements are true and which are false :
The diameters of a circle are concurrent. The centre of the circle is the point common to all diameters.

Answer

To determine whether the statements about the diameters of a circle are true or false, let's analyze each statement step by step.

### Step-by-Step Solution:

1. **Understanding the Statement**:
- The first statement is: "The diameters of a circle are concurrent."
- The second statement is: "The centre of the circle is the point common to all diameters."

2. **Analyzing the First Statement**:
- A diameter is defined as a line segment that passes through the center of the circle and connects two points on the circumference.
- If we draw multiple diameters in a circle, we notice that each diameter passes through the center of the circle.
- Since all diameters intersect at the center point, they are concurrent lines.

**Conclusion**: The first statement is **True**.

3. **Analyzing the Second Statement**:
- The center of the circle is, by definition, the point that is equidistant from all points on the circumference.
- Since every diameter passes through this center point, it is indeed the common point for all diameters.

**Conclusion**: The second statement is also **True**.

### Final Answers:
- The diameters of a circle are concurrent: **True**
- The centre of the circle is the point common to all diameters: **True**

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