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

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))`
Statement II y(x) is given by `(1)/(y) =(2sqrt3)/(x)-sqrt(1-(1)/(x^(2)))`

A

Statement I s 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.

Text Solution

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The correct Answer is:
C
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