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The number of parameters of the equation...

The number of parameters of the equation `ax^(2)+ay^(2)+2fy+c=0` is

A

3

B

2

C

4

D

5

Text Solution

AI Generated Solution

The correct Answer is:
To determine the number of parameters in the equation \( ax^2 + ay^2 + 2fy + c = 0 \), we will analyze the equation step by step. ### Step 1: Identify the equation The given equation is: \[ ax^2 + ay^2 + 2fy + c = 0 \] ### Step 2: Rearrange the equation We can rearrange the equation to emphasize its components: \[ ax^2 + ay^2 + 2fy + c = 0 \] ### Step 3: Identify the parameters In the equation, we can identify the following parameters: - \( a \): This is a coefficient for \( x^2 \) and \( y^2 \). - \( f \): This is the coefficient for the term \( 2fy \). - \( c \): This is the constant term. ### Step 4: Count the parameters From the above identification, we see that: - \( a \) is one parameter. - \( f \) is another parameter. - \( c \) is a third parameter. Thus, we have a total of 3 parameters. ### Conclusion The number of parameters in the equation \( ax^2 + ay^2 + 2fy + c = 0 \) is 3. ### Final Answer The correct option is 3. ---
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