Consider the curve \(y=\) be \(^{-x / a}\) where a and \(b\) are non-zero real numbers. Then
(A) \(\frac{x}{a}+\frac{y}{b}=1\) is tangent to the curve at \((0,0)\)
(B) \(\frac{x}{a}+\frac{y}{b}=1\) is tangent to the curve where the curve crosses the axis of \(y\)
(C) \(\frac{x}{a}+\frac{Y}{b}=1\) is tangent to the curve at \((a, 0)\)
(D) \(\frac{x}{a}+\frac{y}{b}=1\) is tangent to the curve at \((2 a, 0)\)
