Let \(P\) be the plane passing through the points \((5,3,0)\), \((13,3,-2)\) and \((1,6,2)\). For \(\alpha \in N\), if t…

Let \(P\) be the plane passing through the points \((5,3,0)\), \((13,3,-2)\) and \((1,6,2)\). For \(\alpha \in N\), if the distances of the points \(A(3,4, \alpha)\) and \(B(2, \alpha, a)\) from the plane \(P\) are 2 and 3 respectively, then the positive value of \(a\) is

[JEE Main 2023, 11 Apr (Shift 2)]