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If 2a+3b+6c=0 , then at least one root o...

If 2a+3b+6c=0 , then at least one root of the eqution `ax^2+bx+c=0` lies in the interval

A

(0,1)

B

(1,3)

C

(2,3)

D

(1,2)

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1D (MEAN VALUE THEOREMS)
  1. The constant 'c' of Rolle's theorem for the function f(x) =sin x in [0...

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  2. If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one ...

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  3. If 2a+3b+6c=0 , then at least one root of the eqution ax^2+bx+c=0 lies...

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  4. Rolle's theorem can not applicable for

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  5. Rolle's theorem can not applicable for

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  6. The constant c of the Lagrange's mean value theorem for the function f...

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  7. The constant c of Lagrange's theorem for f(x)=x^3-4x^2+4x "in" [0,2] i...

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  8. The constant c of Lagrange's theorem for f(x)=x(x-1)(x-2) "in" [0,1//2...

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  9. The constant c of Lagrange's theorem for f(x)=(x-1)(x-2)(x-3) "in" [0...

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  10. The constant c of Lagrange's theorem for f(x) =x/(x-1) "in" [2,4] is

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  11. The constant c of Lagrange's mean value theorem for f(x) =2 sin x+ sin...

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  12. A value of c for which the conclusion of Mean value Theorem holds for ...

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  13. The value of c in the Lagrange's mean - value theorem for f(x)=sqrt(x-...

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  14. The constant c of Lagrange's theorem for f(x)=lx^2+mx+n(lne0) in [a,b]...

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  15. The constant c of Lagrange's theorem for f(x)=lx^2+mx+n(lne0) in [a,b]...

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  16. The constant theta of Lagrange's theorem for f(x) =x^2-2x+3 in [1,3/2]...

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  17. Lagrange's theorem can not be applicable for

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  18. Lagrange's theorem can not be applicable for

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  19. If f(x) satisfies Lagrange's mean value theorem in [a,b] then there ex...

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  20. The constant c of Cauchy's mean value theorem for f(x) =x^2,g(x)=x^3 "...

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