Study the given statements carefully and select the correct option.
Statement-1 : A chord of a circle is a line segment joining any two points on the circle.
Statement-2 : A diameter is the shortest chord passing through the centre of the circle.

Options

A. Statement -1 is true but Statement - 2 is false.
B. Statement -1 is false but Statement - 2 is true.
C. Both Statement -1 and Statement - 2 are true
D. Both Statement -1 and Statement -2 are false.

Answer

To solve the problem, we need to analyze the two statements provided:

### Step 1: Analyze Statement 1
**Statement 1:** A chord of a circle is a line segment joining any two points on the circle.

- A chord is defined as a line segment that connects two points on the circumference of the circle.
- This definition is correct.

**Conclusion for Statement 1:** True

### Step 2: Analyze Statement 2
**Statement 2:** A diameter is the shortest chord passing through the centre of the circle.

- A diameter is a special type of chord that passes through the center of the circle.
- However, it is not the shortest chord; in fact, it is the longest chord in a circle.
- Other chords can be shorter than the diameter, but no chord can be longer than the diameter.

**Conclusion for Statement 2:** False

### Final Conclusion
- Statement 1 is true.
- Statement 2 is false.

### Correct Option
The correct option based on the analysis is that Statement 1 is true and Statement 2 is false.

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