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The condition that =x^(3)+ax^(2)+bx+c is...

The condition that `=x^(3)+ax^(2)+bx+c` is an increasing function for all real values of 'x' is

A

`a^(2)lt12b`

B

`a^(2)lt3b`

C

`a^(2)lt4b`

D

`a^(2)lt16b`

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The correct Answer is:
A
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AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. If f(x)=kx^(3)-9x^(2)+9x+3 is monotonically increasing in R , then

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  2. The value of a so that the sum of the squares of roots of the equation...

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  3. The condition that =x^(3)+ax^(2)+bx+c is an increasing function for al...

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  4. If F(x)=x^(3)+bx^(2)+cx+dand0ltb^(2)ltc, then in (-oo,oo)

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  5. The values 'a' for which the function f(x)=(a+2)x^(3)=3ax^(2)+9ax-1 de...

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  6. If f(x)=kx^(3)-9x^(2)+9x+3 is monotonically increasing in R , then

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  7. The value of a so that the sum of the squares of roots of the equation...

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  8. The condition that =x^(3)+ax^(2)+bx+c is an increasing function for al...

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  9. If F(x)=x^(3)+bx^(2)+cx+dand0ltb^(2)ltc, then in (-oo,oo)

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  10. The values 'a' for which the function f(x)=(a+2)x^(3)=3ax^(2)+9ax-1 de...

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  11. If f(x)=kx^(3)-9x^(2)+9x+3 is monotonically increasing in R , then

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  12. The value of a so that the sum of the squares of roots of the equation...

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  13. The condition that =x^(3)+ax^(2)+bx+c is an increasing function for al...

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  14. If F(x)=x^(3)+bx^(2)+cx+dand0ltb^(2)ltc, then in (-oo,oo)

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  15. The values 'a' for which the function f(x)=(a+2)x^(3)=3ax^(2)+9ax-1 de...

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  16. If f(x)=kx^(3)-9x^(2)+9x+3 is monotonically increasing in R , then

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  17. The least value of 'a' for which the equation (4)/(sinx)+(1)/(1-sinx)=...

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  18. Minimum value of (Sinx)^(Sinx) is

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  19. The maximum value of sin^(2)xcos^(3)x is

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  20. The maximum value of f(x)=(x-2)^(2)(x-3) is

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