Question 809097
standard form of a conic is
Ax^2 +Bxy +Cy^2 +Dx +Ey +F = 0
now our equation is 
x^2 +Bxy +F = 0
to characterize the graph we must look at the discriminant, that is
B^2 -4AC
we know that C=0 and B is not equal to 0, therefore we have
B^2 which is > 0 which makes this a hyperbola for all values of F