Question:
If \(x-y=\pi\), then the value of \(\dfrac{dy}{dx}\) is:
If \(x-y=\pi\), then the value of \(\dfrac{dy}{dx}\) is:
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Differentiate x - y = constant directly; the derivative of a constant is 0.
Updated On: Sep 23, 2026
- 0
- \(\pi\)
- 1
- \(x\)
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The Correct Option is C
Solution and Explanation
Step 1: Differentiate both sides w.r.t. \(x\):
\(x-y=\pi\) is an equation between \(x\) and \(y\) with \(\pi\) a constant. Differentiating: \(1-\dfrac{dy}{dx}=0\).
Step 2: Solve for \(dy/dx\):
\[ \dfrac{dy}{dx}=1 \]
Final Answer:
\[ \boxed{\dfrac{dy}{dx}=1} \]
\(x-y=\pi\) is an equation between \(x\) and \(y\) with \(\pi\) a constant. Differentiating: \(1-\dfrac{dy}{dx}=0\).
Step 2: Solve for \(dy/dx\):
\[ \dfrac{dy}{dx}=1 \]
Final Answer:
\[ \boxed{\dfrac{dy}{dx}=1} \]
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