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The values 'a' for which the function f(...

The values 'a' for which the function `f(x)=(a+2)x^(3)=3ax^(2)+9ax-1` decreases for all real values of x, is

A

`alt-2`

B

`agt-2`

C

`alt-3`

D

`-3ltalt-2`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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