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

Let \(\alpha\) and \(\beta\) be the roots of the equation \(p{x}^{2}+qx−r=0\), 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:EndFragment

[JEE Main 2024, 01 Feb (Shift 2)]