If (x – a)2 + (y – b)2 = c2, for some c > 0, prove that is a constant independent of a and b.


Given, (x – a)2 + (y – b)2 = c2


Differentiating with respect to x, we get






Differentiating again with respect to x



Using Quotient Rule




Substituting the value of dy/dx in the above equation





, which is independent of a and b


Hence, Proved


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