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If x ^(3) + y^(3) = 3ax ^(2) then y (2)=...

If `x ^(3) + y^(3) = 3ax ^(2)` then `y _(2)=`

A

`(- 2a ^(2) x ^(2))/(y ^(5))`

B

`(4a ^(2) x ^(2))/(y ^(5))`

C

`y ^(5)`

D

`1`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D
  1. If x ^(3) + y ^(3) = 3axy then y (2) =

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  2. If y ^(2) = (x-a)(x-b)then ( d ^(3))/(dx ^(3)) [((d ^(2) y)/(dx ^(2))^...

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  3. If x ^(3) + y^(3) = 3ax ^(2) then y (2)=

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  4. If y ^(2) = a ^(2) cos ^(2) x + b b^(2) sin ^(2) x then y + y (2)=

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  5. If ax ^(2) + 2hxy + by ^(2) =1 then (hx + by) ^(3) y (2) =

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  6. If x ^(3) - 3ax ^(2) + y ^(3) =0then y ^(5) y (2) =

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  7. If x ^(2) + y ^(2) =a ^(2) then ((1+ y (1) ^(2))^(3//2))/(|y(2)|)=

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  8. If y ^(2) = 4ax then 4a^2 (1+ y(1) ^(2)) ^(3//2) + (y ^(2) + 4a ^(2))...

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  9. If x ^(2) + 5xy + y^(2) =-2x + y -6=0 then y'' at (1,1) is

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  10. If sqrtx+ sqrty = sqrta then y (2)+ (1+ y(1)) ^(3) y =

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  11. If y = sin (x + y) then y (2) + (1+ y (1)) ^(3) y =

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  12. If x ^(2) - xy + y ^(2) =1 and y ''(1)=

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  13. If x ^(2) - 2x ^(2) y ^(2) + 5x + y-5 =0 and y (1) then y '' (1)=

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  14. If x = t ^(2), y = t ^(3) then (d ^(2) y)/(dx ^(2)) =

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  15. If x = (2/ t ^(2)), y = t ^(3) -1, then (d ^(2) y)/(dx ^(2))=

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  16. If x =a cos ^(3) theta, y= a sin ^(3) theta then (d^(2) y)/( dx ^(2)) ...

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  17. If x = cos theta + theta sin theta, y = sin theta - theta cos theta t...

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  18. If x =a ( theta + sin theta), y =a (1 - cos thea) then (d ^(2) y)/(dx ...

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  19. If x=a ( theta - sin theta), y =a (1 - cos theta) then y (2) at theta...

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  20. x = cos theta, y = sin 5 theta implies (1- x ^(2)) (d^(2)y)/(dx ^(2)) ...

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