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If a x^2+2h x y+b y^2=1,t h e n(d^(2y))/...

If `a x^2+2h x y+b y^2=1,t h e n(d^(2y))/(dx^2)` is `(h^2-a b)/((h x+b y)^2)` (b) `(a b-h^2)/((h x+b y)^2)` `(h^2+a b)/((h x+b y)^2)` (d) none of these

A

` -(h^(2) +ab)`

B

` -( h^(2) -ab) `

C

` h^(2) +ab`

D

` h^(2)-ab`

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The correct Answer is:
D
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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  2. If ax^(2)+2hxy+by^(2)=0,"show that "(d^(2)y)/(dx^(2))=0

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  3. If a x^2+2h x y+b y^2=1,t h e n(d^(2y))/(dx^2) is (h^2-a b)/((h x+b y)...

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  4. If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.

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  5. If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y ...

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  7. if (x-a)^2+(y-b)^2=c^2 then {1+((dy)/(dx))^2}/{(d^2y)/(dx^2)} =?

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  8. If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3) + ...+...

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  9. If y=5" cos"x-3" sin"x, prove that (d^(2)y)/(dx^(2))+y=0.

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  10. If y=sec x -tan x ,then (d^(2)y)/(dx^(2)) =

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  11. If y=cos ^(2) ((3x) /( 2))-sin ^(2) ((3x)/( 2) ),then (d^(2)y)/( dx^(...

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  12. If y= sin x sqrt ( cos x ) ,then (d^(2)y)/(dx^(2)) =

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  13. If y=cos (log x) ,then (d^(2)y)/(dx^(2))=

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  14. The number of values of b , for which in an acute triangle A B C , the...

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

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  16. If y=cos^(-1)x , find (d^2y)/(dx^2) in terms of y alone.

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  17. if y=tan^(- 1)x ,find (d^2y)/(dx^2).

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  18. If y=(tan^(-1)x)^2, then (x^2+1)^2 (d^2y)/(dx^2) + 2x(x^2+1) dy/dx=

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  19. If y=log ((x^(2))/( e^(x))) ,then (d^(2)y)/(dx^(2)) =

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  20. If y = log(sin x), find (d^2y)/(dx^2)

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