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The family of curves represented by (dy)...

The family of curves represented by `(dy)/(dx) = (x^(2)+x+1)/(y^(2)+y+1)` and `(dy)/(dx) +(y^(2)+y+1)/(x^(2)+x+1)=0`

A

touch each other

B

are orthogonal

C

are one and the differential

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. ydx-xdy+3x^(2)y^(2)e^(x^(3))dx=0

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  2. The curve for which the length of the normal is equal to the length ...

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  3. The family of curves represented by (dy)/(dx) = (x^(2)+x+1)/(y^(2)+y+1...

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  4. The form of the differential equation of the central conics, is

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  5. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

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

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  7. The equation of the curve through the point (1,0) which satisfies the ...

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  8. The differential equation of family of curves x^(2)+y^(2)-2ax=0, is

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  9. The solution of the differential equation (dy)/(dx)-(tany)/(x)=(tany...

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  10. The solution of (dy)/(dx)+2y tanx=sinx, is

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  11. Solve the each of the following differential equation: (dy)/(dx)+y/...

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  12. Solve the differential equation: (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx...

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  13. Solution of x(dy)/(dx)+y=xe^(x), is

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  14. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

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  15. The integrating factor of the differential equation (dy)/(dx) + y = (1...

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  16. The degree of the differential equation corresponding to the family of...

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  17. The degree of the differential equation of all curves having normal of...

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  18. The differential equation of the family of ellipses having major and m...

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  19. Find the differential equation satisfying the relation sqrt(1+x^(2))+s...

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  20. The differential eqaution of the family of curve y^(2)=4a(x+a), is

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