Let the parabola \(y={x}^{2}+px-3,\) meet the coordinate axes at the points \(P\), \(Q\) and \(R\). If the circle C with…

Let the parabola \(y={x}^{2}+px-3,\) meet the coordinate axes at the points \(P\), \(Q\) and \(R\). If the circle C with centre at \( (-1,-1) \) passes through the points \(P\), \(Q\) and \(R\), then the area of \(\Delta \mathrm{PQR}\) is:

[JEE Main 2025, 22 Jan (Shift 1)]