For the following question, choose the correct answer from the codes (a),(b),( c ) and (d) follows
Let a solution y=y(x) of the differential equation `xsqrt(x^(2)-1)dy-ysqrt(y^(2)-1)dx=0` satisfy y(2)=`(2)/(sqrt3)`
Statement I y(x) = sec `(sec^(-1)x-(pi)/(6))` and
Statement II y(x) is given by `(1)/(2)=(2sqrt3)/(x)-sqrt(1-(1)/(x^(2)))`

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statemcnt-2 is True, Statement-2 is Not a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True