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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

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The correct Answer is:
C
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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 (0,-1)(c) Fixed radius 1 and variable centres along the x-axis. (d) Fixed radius 1 and variable centres along the y-axis.

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AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
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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 tangent at (x,y) to a curve passing through (2, 1) is (x...

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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. The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(...

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  9. The solution of the differential equation ydx+ (x +x^2 y) dy =0 is

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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. The second order differential equation is

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

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  16. The real value of n for which substitutor transform differential equat...

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

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  18. A curve y = f(x) passes through point P(1,1). The normal to curve at p...

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

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

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