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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 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.

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
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  2. A curve passes through the point (1,(pi)/(6)). Let the slope of the cu...

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  3. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  4. Let f:[0,1]rarrR be a function. Suppose the function f is twice differ...

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  5. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  6. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

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  7. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c...

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  8. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  9. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

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  10. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

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  11. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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  12. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

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  13. Let the population of rabbits surviving at a time t be governed by t...

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  14. At present, a firm is manufacturing 2000 items. It is estimated tha...

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  15. The population p(t) at time t of a certain mouse species satisfies the...

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  16. If (dy)/(dx)=y+3 and y(0)=2, then y(log2) is equal to

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  17. Let I be the purchase value of an equipment and V(t) be the value afte...

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  18. Solution of the differential equation cosxdy=y(sinx-y)dx, 0ltxlt(pi)...

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  19. The differential equation which represents the family of curves y=c(1)...

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