If `a x^2+2h x y+b y^2=1,t h e n(d^(2y))/(dx^2)` is `(h^2-a b)/((h x+b y)^2)` (b) `(a b-h^2)/((h x+b y)^2)` `(h^2+a b)/((h x+b y)^2)` (d) none of these

Options

A. `(h^(2)-ab)/((hx+by)^(3))`
B. `(ab-h^(2))/(hx+by)^(2)`
C. `(h^(2)+ab)/(hx+by)^(2)`
D. none of these

Explanation

To solve the problem, we need to find the second derivative of \( y \) with respect to \( x \) given the equation:

\[ a x^2 + 2h x y + b y^2 = 1 \]

### Step 1: Differentiate the equation with respect to \( x \)

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