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The differential equation (dy)/(dx)=(sqr...

The differential equation `(dy)/(dx)=(sqrt(1-y^2))/y` determines a family of circle with (a) variable radii and a fixed centre at (0, 1) (b) variable radii and a fixed centre at `( c ) (d)(( e ) (f)0,-1( g ))( h )` (i) (j) Fixed radius 1 and variable centres along the x-axis. (k) Fixed radius 1 and variable centres along the y-axis.

A

Variable radii and a fixed centre at (0, 1)

B

Variable radii and a fixed centre at (0, -1)

C

Fixed radius 1 and variable centre along the x-axis

D

Fixed radius 1 and variable centre along the y-axis

Text Solution

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The correct Answer is:
C
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AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
  1. Solution of the differential equation sin x. cos y dy + cos x. sin y d...

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  2. Solution of differential equation (dy)/(dx) = (2)/(x+y) is

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  3. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a fa...

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

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  5. The slope of the tangent at (x , y) to a curve passing through a po...

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  6. The solution of the differential equation (dy)/(dx) = (y)/(x)+ (Q((...

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  7. The solution of differential equation x^(2)y^(2)dy = (1-xy^(3))dx is

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  8. Solve the following differential equation: (1+x^2)(dy)/(dx)+y=e^tan^((...

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  9. ydx+(x+x^(2)y)dy=0

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  10. The family whose x and y intercepts of a tangent at any point are resp...

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  11. The solution of the equation y' = cos (x-y) is

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  12. Solution of y dx – x dy = x^2 ydx is:

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  13. The equation of the curve, slope of whose tangent at any point (h, k) ...

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  14. Which of the following is a second order differential equation

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  15. The order of the differential equation whose general solution is y = (...

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  16. The equation of curve in which portion of y-axis cutoff between origin...

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  17. A curve y=f(x) passes through point P(1,1) . The normal to the curv...

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  18. Solve the following differential equation: tany(dy)/(dx)=sin(x+y)+sin(...

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  19. For solving dy/dx = 4x +y +1, suitable substitution is

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  20. A continuously differentiable function phi(x) in (0,pi) satisfying y'=...

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