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The order of differential equation of fa...

The order of differential equation of family of circles passing through intersection of `3x+4y-7=0` and `S=-x^(2)+y^(2)-2x+1=0` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Equation of family of circles is `(x^(2)+y^(2)-2x-2y+1)+lambda(3x+4y-7)=0`
Arbitrary constants is 1
So, order is 1.
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CENGAGE-DIFFERENTIAL EQUATIONS-Exercise (Single)
  1. The degree of the differential equation satisfying sqrt(1-x^(2))+sqr...

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  2. Number of values of m in N for which y=e^(m x) is a solution of th...

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  3. The order of differential equation of family of circles passing throug...

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  4. The differential equation of all non-horizontal lines in a plane is...

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  5. The differential equation of the family of curves y=e^x(Acosx+Bsinx), ...

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  6. Differential equation of the family of circles touching the line y=...

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  7. The order and degree of the differential equation of all tangent li...

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  8. The differential equation for the family of curve x^2+y^2-2a y=0, wher...

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  9. The differential equation whose general solution is given by y=(c1c...

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  10. If y=x/(In|cx|) (where c is an arbitrary constant) is the general solu...

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  11. The differential equation of the curve x/(c-1)+y/(c+1)=1 is (a) ( b )...

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

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  13. The equation of the curves through the point (1, 0) and whose slope...

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  14. Solve the differential equation (dy)/(dx)=(x(2logx+1))/((siny+ycosy)).

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  15. The solution of the equation (x^2y+x^2)dx+y^2(x-1)dy=0 is given by (a)...

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  16. Solve the following differential equations (dy)/(dx)=sinx*siny

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  17. The solution of (d v)/(dt)+k/m v=-g is (a) ( b ) (c) v=c (d) e^(( e...

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  18. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

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  19. if y+x(dy)/(dx)=x(phi(xy))/(phi'(xy)) then phi(xy) is equation to

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

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