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Let a solution y=y(x) of the differentia...

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/sqrt(3)`Statement-1: `y(x)=sec(sec^-1x-pi/6)`Statement-2: `y(x)` is given by `1/y=(2sqrt(3))/x-sqrt(1-1/x^2)` (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-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.

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