In,the given equation `ax^2+bx+c,` if a = 0 and b = 0 than

Options

A. The equation represents a linear equation,an
B. The equation represents a quadratic equation
C. The equation represents a bi-quadratic. equation
D. none, of the above

Answer

To solve the problem, we need to analyze the equation given in the question:

\[ ax^2 + bx + c \]

We are given that \( a = 0 \) and \( b = 0 \). Let's substitute these values into the equation and analyze what we get.

### Step 1: Substitute values into the equation
Substituting \( a = 0 \) and \( b = 0 \) into the equation, we have:

\[ 0 \cdot x^2 + 0 \cdot x + c = 0 \]

This simplifies to:

\[ c = 0 \]

### Step 2: Analyze the resulting equation
Now, we need to analyze what this means. The equation simplifies to:

\[ c = 0 \]

This is not an equation in terms of \( x \) anymore; it is simply a constant equation.

### Step 3: Determine the type of equation
Since both \( a \) and \( b \) are zero, the original quadratic equation has degenerated into a constant equation. This means it does not represent a linear equation (which requires a non-zero coefficient for \( x \)), nor does it represent a quadratic equation (which requires a non-zero coefficient for \( x^2 \)), and it certainly does not represent a bi-quadratic equation (which involves \( x^4 \)).

### Conclusion
Thus, the correct answer is that the equation represents "none of the above."

### Final Answer:
The correct answer is **D: None of the above**.

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