Let \(\alpha\) and \(\beta\) be the roots of the equation \(p x^2+ q x- r =0\), where \(p \neq 0\). If \(p , q\) and \(r…

Let \(\alpha\) and \(\beta\) be the roots of the equation \(p x^2+ q x- r =0\), 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 :

[JEE Main 2024, 1 Feb (Shift 2)]