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The differential equation of the family ...

The differential equation of the family of straight lines `y = mx + a//m` where m is the parameter, is

A

`x(dy)/(dx) = 0`

B

`(x-y)(dy)/(dx) = a`

C

`x((dy)/(dx))^(2) - y (dy)/(dx) = a`

D

`x((dy)/(dx))^(2) - y (dy)/(dx) + a = 0`

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The correct Answer is:
D
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The differential equation of all non-horizontal lines in a plane is

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  2. The subnormal at any point of a curve is of constant length '8'. Then ...

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  3. The differential equation of the family of straight lines y = mx + a//...

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  4. The differential equation of curve given by y = a cos ((n)/(x) + b) (a...

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  5. Form the differential equation by eliminating the arbitrary constant f...

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  6. The differential equation obtained by eliminating the arbitrary consta...

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  7. The differential equation which represents the family of curves y = c(...

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  8. Form the differential equation by eliminating the arbitrary constant f...

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  9. The differential equation by eliminating A & B from y = A x^(3) + B x^...

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  10. The differential equation of the family y = ae^(x) + bx e^(x) + cx^(2)...

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  11. The differential equation of family of curves x^(2) + y^(2) - 2ay = 0 ...

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  12. The differential equation by eliminating a, b from (x-a)^(2) + (y-b)^(...

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  13. The differential equation of all circles passing through the origin an...

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  14. The differential equation of the family of circles of fixed radius r a...

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  15. The differential equation of the family of parabolas with focus at ori...

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  16. The differential equation of the system of curves given by (x^(2))/(a^...

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  17. The solution of (xdx + ydx)/(x^(2) + y^(2)) = 0 is

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  18. The solution of (dy)/(dx) = (1+y^(2))(1+x^(2))^(-1) is

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  19. Tan^(-1)(x) + Tan^(-1)(y) = c is the solution of

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  20. The solution of xd(xy) = ((f(xy))/(f^(1)(xy)))dx is

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