If foci of hyperbola lie on y=x and one of the asymptote is y=2x, then equation of the hyperbola, given that is passes through (3,4) is :

O x²-y²-5/2xy+5=0
O 2x²-2y²+5xy+5=0
O 2x²+2y²-5xy+10=0
O None of these