Correct option is (C) a = c
Let \(\alpha\;and\;\frac1\alpha\) be roots of equation \(ax^2+bx+c=0.\)
\(\therefore\) Product of roots \(=\frac ca\)
\(\Rightarrow\frac ca=\alpha.\frac1\alpha=1\)
\(\Rightarrow\) c = a
Hence, the condition that one root of the quadratic equation \(ax^2+bx+c=0\) is reciprocal of the other is a = c.