The negation of the statement “A circle is an ellipse” is -

Options

A. An ellipse is a circle.
B. An ellipse is not a circle.
C. A circle is not an ellipse.
D. A circle is an ellipse.

Answer

To find the negation of the statement "A circle is an ellipse," we follow these steps:

### Step 1: Understand the Original Statement
The original statement is "A circle is an ellipse." This is a categorical statement that asserts a relationship between a circle and an ellipse.

**Hint:** Identify the subject (circle) and the predicate (ellipse) in the statement.

### Step 2: Define Negation
Negation involves stating that the original statement is not true. In logical terms, if the original statement is "P," the negation is "not P."

**Hint:** Remember that negation changes the truth value of the statement.

### Step 3: Formulate the Negation
To negate the statement "A circle is an ellipse," we need to express that it is not the case that a circle is an ellipse. This can be phrased as "A circle is not an ellipse."

**Hint:** Use the phrase "not" to indicate the negation clearly.

### Step 4: Finalize the Negation
The final negation of the statement is "A circle is not an ellipse."

**Hint:** Ensure that the negation clearly contradicts the original statement.

### Conclusion
Thus, the negation of the statement "A circle is an ellipse" is "A circle is not an ellipse."

---