If `x-y=pi,"then "dy/dx` is :

Options

A. 1
B. 0
C. `pi`
D. -1

Answer

To find \(\frac{dy}{dx}\) given the equation \(x - y = \pi\), we will differentiate both sides of the equation with respect to \(x\).

### Step-by-Step Solution:

1. **Start with the given equation:**
\[ x - y = \pi \]

2. **Differentiate both sides with respect to \(x\):**
- The derivative of \(x\) with respect to \(x\) is \(1\).
- The derivative of \(y\) with respect to \(x\) is \(\frac{dy}{dx}\).
- The derivative of a constant (\(\pi\)) is \(0\).

Therefore, differentiating gives us:
\[ \frac{d}{dx}(x) - \frac{d}{dx}(y) = \frac{d}{dx}(\pi) \]
This simplifies to:
\[ 1 - \frac{dy}{dx} = 0 \]

3. **Rearranging the equation to solve for \(\frac{dy}{dx}\):**
\[ \frac{dy}{dx} = 1 \]

### Final Answer:
\[ \frac{dy}{dx} = 1 \]