Let a solution y = y(x) of the differential equation x\sqrt{x^2-1} dy - y\sqrt{y^2-1} dx = 0 satisfy y (2) = 2/\sqrt3 STATEMENT 1: y (x) = \sec(\sec^{-1} x - \pi/6). STATEMENT 2: y(x) is given by 1/y = {2\sqrt3}/x-\sqrt{1-1/x^2 [JEE Adv 2008 P2]

Correct Answer is : Statement-1 is True, Statement-2 is False.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is False.

Statement-1 is False, Statement-2 is True.

Differential Equations

Section: Mathematics

Question : 23 of 23

Marks: +1, -0

Let a solution y = y(x) of the differential equation
x√x2−1dy - y√y2−1 dx = 0 satisfy y (2) =

√3

STATEMENT 1: y (x) = sec(sec−1x−

).
STATEMENT 2: y(x) is given by

2√3

−√1−

[JEE Adv 2008 P2]

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is False.
Statement-1 is False, Statement-2 is True.

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