If `sqrt(1-x^2)+sqrt(1-y^2)=a(x-y),` prove that `(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 can follow these steps:

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

...