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The differential equation of family of c...

The differential equation of family of curves `x^(2) + y^(2) - 2ay = 0` where 'a' is arbitrary constant is

A

`2(x^(2) - y^(2)) y'= xy`

B

`(x^(2) + y^(2)) y'= 2xy`

C

`(x^(2) - y^(2)) y'= 2xy`

D

`2(x^(2) + y^(2)) y'= xy`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The differential equation of family of circles of fixed radius 5 units...

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

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

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  4. The differential equation of the family of parabolas having vertices a...

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  5. The differential equation of the family of parabola with focus at the ...

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  6. The differential equation of the family of parabola with vertex at (0,...

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  7. The differential equation of the family of ellipses having centres at ...

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

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  9. The order of the differential equation (d^(2)y)/(dx^(2)) - 5 (dy)/(dx...

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  10. The order of the differential equation ((dy)/(dx))^(3) + ((dy)/(dx))^...

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  11. The order of the differential equation ((dy)/(dx) + 3x)^(3//2) = x + ...

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  12. The order of the differential equation (d^(2)y)/(dx^(3)) + 2 ((dy)/(d...

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  13. The order of the differential equation [2 + ((dy)/(dx))^(2)]^(-3//2) ...

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  14. The order of the differential equation [(d^(2)y)/(dx^(2)) + ((dy)/(dx...

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  15. The degree and order of the differential equation of the family of all...

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  16. The degree and order of D.E. of the family of rectangular hyperbolas w...

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  17. The differential equation representing the family of curves y^(2) = 2c...

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  18. The differential equation whose solution is Ax^(2) + By^(2) = 1, where...

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  19. The differential equation of the family of curve y = ax + (1)/(a), whe...

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  20. The solution of the differential equation y dx - x dy = 0 is

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