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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 centres along the x-axis

D

fixed radius 1 and variable centres along the yaxis

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The correct Answer is:
C
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MOTION-DIFFERENTIAL EQUATION -Exercise 4
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  16. Let y(x) be a solution of the differential eqution (1 +e^x)y' +ye^x = ...

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  17. Consider the family of all circles whose centers lie on the straigh...

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  18. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

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