Let α, β; α > β, be the roots of the equation \(\rm x^2-\sqrt2x-\sqrt3=0\). Let Pn = αn – βn, n ∈ N. Then \(\rm \left(11\sqrt3-10\sqrt2\right)P_{10}+\left(11\sqrt2+10\right)P_{11}-11P_{12}\) is equal to :
1
\(\rm 10\sqrt2P_9\)
2
\(\rm 10\sqrt3P_9\)
3
\(\rm 11\sqrt2P_9\)
4
\(\rm 11\sqrt3P_9\)