Let \(B\) be the centre of the circle \(x^{2} + y^{2} - 2x + 4y + 1 = 0\). Let the tangents at two points \(P\) and \(Q\…

Let \(B\) be the centre of the circle \(x^{2} + y^{2} - 2x + 4y + 1 = 0\). Let the tangents at two points \(P\) and \(Q\) on the circle intersect at the point \(A(3,1)\). Then \(8.\left( \frac{\text{area } \bigtriangleup \text{APQ}}{\text{area } \bigtriangleup \text{BPQ}} \right)\) is equal to

[JEE Main 2021, 31 Aug (Shift 2)]