Mathematics
Let \(\alpha\) and \(\beta\) be the roots of the equation
\(x^{2} + qx\) \(- r = 0\), where \(p \neq 0\). If \(p,q\) and \(r\)
be the consecutive terms of a non constant G.P. and
\(\frac{1}{\alpha} + \frac{1}{\beta} = \frac{3}{4}\), then the value
of \((\alpha - \beta)^{2}\) is
A
8
B
9
C
\(\frac{20}{3}\)
D
\(\frac{80}{9}\)
Select an option to instantly check whether it is correct or wrong.

