If `sqrt(1-x^2)+sqrt(1-y^2)=a(x-y),p rov et h a t(dy)/(dx)=sqrt((1-y^2)/(1-x^2))`

Explanation

To prove that \(\frac{dy}{dx} = \sqrt{\frac{1 - y^2}{1 - x^2}}\) given the equation \(\sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y)\), we will follow these steps:

### Step 1: Start with the given equation
We have:
\[ \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \]

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