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 I is true, Statement II is also true, Statement II is the correct explanation of Statement I.
B. Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.
C. Statement I is true, Statement II is false.
D. Statement I is false, Statement II is true.

Answer

C