Given quadratic equation is \( \Large \frac{x^{2}}{a} + \frac{x}{b} + \frac{1}{c} = 0 \) ...(i) Now, by condition the roots of the Eq. (i) are \( \Large \alpha \ and \ \frac{1}{ \alpha } \) Now, product of roots = \( \Large \frac{1/c}{1/a} \) = \( \Large \alpha .\frac{1}{ \alpha } = \frac{a}{c} \) = c = a which is the required relation