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The D.E. of the family of circles touchi...

The D.E. of the family of circles touching X-axis at (0,0) is (or) The D.E. of the family of circles passing through the origin and having their centre on Y-axis is

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
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  2. The differential equation of family of coaxal circles x^(2) + y^(2) + ...

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  3. The D.E. of the family of circles touching X-axis at (0,0) is (or) The...

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  4. The differential equations of hyperbolas with coordinate axis as asymp...

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  5. The differential equation of the family of hyperbolas having centres a...

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  6. The solution of (dy)/(dx) = e^(x+y)+ x^(2)e^(x^(3)+y) is

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  7. The solution of the differential equation (dy)/(dx) = (xy + y)/(yx + x...

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  8. The solution of ydx - xdy = xydx is

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  9. Solution of log ((dy)/(dx)) = 3x+4y, y(0) = 0 is

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  10. The solution of y = x(dy)/(dx) + a sqrt(1+((dy)/(dx))^(2)) is

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  11. (dy)/(dx) = xy + x + y +1 has the solution

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  12. The solution of (x^(2)-y^(2)x^(2))(dy//dx) +(y^(2)+x^(2)y^(2)) = 0 is

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  13. The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

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  14. Solution the differential equation (dy)/(dx) + 1 = e^(x+y) is

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  15. The solution of (dy)/(dx) = e^(2x-y) + x^(3) e^(-y) is

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  16. The solution of (dy)/(dx) = tan^(2)(x+y) is

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  17. The solution of (dy)/(dx) = cos(x+y) is

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  18. The solution of (dy)/(dx) = (4x+9y+1)^(2) is

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  19. The equation of the curve through the origin and satifying the differe...

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  20. The equation of curve passing through (1,3) whose slope at any point (...

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