If the line \(ax+by+c=0\) is a normal to the curve \(xy=4\), then
Answer & explanation
Correct answer: option 3
\(y=-\frac{a}{b}x-\frac{c}{b}\) So, \(m=-\frac{a}{b}\hspace{6cm}\)
Given \(xy=4\) So, \(\frac{dy}{dx}=-\frac{y}{x}\hspace{7cm}\)
Slope of normal\(=\frac{x}{y}\hspace{8cm}\)
Thus, \(\frac{x}{y}=-\frac{a}{b}\)