A) a = b |
B) b = c |
C) ac = 1 |
D) a = c |
D) a = c |
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