The equation of the pair of lines through the origin, the sum and the product of whose slopes are respectively the arithmetic and geometrical mean of 9 and 16 is

Options

A. `8x^2+10xy-8y^2=0`
B. `8x^2-10xy-8y^2=0`
C. `8x^2-10xy+y^2=0`
D. `8x^2+xy-y^2=0`

Answer

C