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The slope of the tangent at (x,y) to a c...

The slope of the tangent at (x,y) to a curve passing through `(1,pi//4)` is given by `y/x -cos^2""(y)/(x)` , then the equation of the curve is :

A

`y=xtan^(-1)[loge//x]`

B

`y=tan^(-1)log(e//x)`

C

`y=xtan^(-1)(x//e)`

D

None of these

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The correct Answer is:
A
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Multiple Choice Questions - LEVEL - II
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  13. If x(dy)/(dx)=y(logy-logx+1), then the solution of the equation is :

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  14. x" "dy=y" "dx +y^2and y(1) =1 , then y (-3) is equal to :

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  15. The differential equation whose solution is Ax^2+By^2=1, where A and B...

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  17. The normal to a curve at P (x,y) meets the x - axis at G . If the dist...

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  18. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cos x,y(0) =1 then y (pi/2) e...

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  19. If (x^2+y^2)dy=xy dxand y (1) = 1 . If f(x0)=e, then x0 is equal to :

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