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The curve for which the slope of the tan...

The curve for which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is :

A

an ellipse

B

a circle

C

a rectangular hyperbola

D

None of these

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The correct Answer is:
C
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Multiple Choice Questions - LEVEL - II
  1. The solution of the differential equation x^2(dy)/(dx)-xy=1+cos""(y)/x...

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  2. The solution of the equation x+y(dy)/(dx)=2y is :

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  3. The differential equation of all circles which pass through origin and...

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  4. The curve for which the slope of the tangent at any point equals the r...

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  5. The slope of the tangent at (x,y) to a curve passing through (1,pi//4)...

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  6. Solution of y dx - x dy = x^2 ydx is :

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  7. Solution of (x+y-1)dx+(2x+3y-3)dy=0 is :

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  8. The equation of the curve, which does not pass through (0,0) and havin...

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  9. The solution of the differential equation : (1+y^2)+(x-e^(tan^(-1)y...

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  10. If y(t) is solution is (t+1)(dy)/(dx)-ty=1,y(0)=-1 At t=1, the souluti...

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  11. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

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  12. The solution of the differential equation : y dx +(x+x^2y)dy=0 is :

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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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  16. The differential equation of all circles passing through the origin an...

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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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  20. The differential equation : (dy)/(dx)=(sqrt(1-y^2))/y determines a fam...

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