Select the correct option

Options

A. The diameter of a circle divides it into three semi-circles
B. A simple curve is one that cross itself.
C. Both (A) and (B)
D. Neither (A) nor (B)

Answer

**Step-by-Step Solution:**

1. **Understanding Option A:** The first option states that the diameter of a circle divides it into 3 semicircles.
- A diameter is a straight line passing through the center of the circle and touching both ends on the circumference.
- When a diameter is drawn, it divides the circle into 2 equal halves, each half being a semicircle.
- Therefore, this statement is incorrect.

2. **Understanding Option B:** The second option claims that a simple curve is one that crosses itself.
- A simple curve is defined as a curve that does not intersect itself at any point.
- Since the statement in option B contradicts the definition of a simple curve, this option is also incorrect.

3. **Evaluating Option C:** The third option states that both A and B are correct.
- Since we have established that both options A and B are incorrect, this option cannot be correct either.

4. **Evaluating Option D:** The fourth option states that neither A nor B is correct.
- Since both options A and B have been proven to be incorrect, this option is indeed correct.

5. **Conclusion:** The correct answer is option 4, which states that neither A nor B is correct.