Home
Class 12
MATHS
if the complete set of values (s) of 'a'...

if the complete set of values (s) of 'a' for which the function `f (x) =(ax^(3))/(3)+(a+2) x^(2) +(a-1) x+2` possess a negative point of inflection is `(-oo, alpha),uu(beta,oo)" then " |alpha|+|beta|` is :

A

`a in (-oo , -2) cup ( 0 ,oo)`

B

`a in (-oo , -3) cup (0 ,oo)`

C

`a in (-oo , -2) cup (2 , oo)`

D

`a in (-oo , -1 ) cup (3 , oo)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 2 (LEVEL - II)|15 Videos
  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 3|32 Videos
  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE -1 (SECTION- F )|2 Videos
  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

Similar Questions

Explore conceptually related problems

The set of value(s) of a for which the function f(x)=(ax^(3))/(3)+(a+2)x^(2)+(a-1)x+2 possesses a negative point of inflection is (-oo,-2)uu(0,oo)( b) {-(4)/(5)}(-2,0)(d) empty set

The exhaustive set of value of 'a' for which the function f(x)=(a)/(3)(x^(3)+(a+2)x^(2)+(a-1)x+2 possess a negative point of minima is (q,oo) The value of q is

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)(cot x)/(2)(sin^(2)x)/(2) does not possess critical points is (-oo,-(4)/(3)) (b) (-oo,-1)(c[1,oo)(d)(2,oo)

If the range of function f(x) = (pisqrt2 + cos^-1 alpha) x^2 + 2 (cos^-1beta) x + pisqrt2 - cos^-1alpha is [0,oo) then find the value of |alpha-beta| +2 alphabeta+1.

If the complete set of value of x satisfying |x-1|+|x-2|+|x-3|>=6 is (-oo,a]uu[b,oo), then a+b=

If alpha and beta are the zeroes of x^2 - 8x + 1 , then the value of 1/alpha +1/beta - alpha beta is :

Given that y=sqrt(((x+1)(x-3))/(x-2)) and all the real values of x for which y takes real values is [alpha, beta)uu[gamma, oo) then gamma + beta- alpha

If alpha,beta(alpha,beta) are the points of discontinuity of the function f(f(x)), where f(x)=(1)/(1-x) then the set of values of a foe which the points (alpha,beta) and (a,a^(2)) lie on the same side of the line x+2y-3=0, is

If alpha and beta are zeroes of the polynomial 3x^(2)+6x+1 , then find the value of alpha+beta+alpha beta .

MOTION-MAXIMA AND MINIMA -EXERCISE -2 (LEVEL- I)
  1. The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , whe...

    Text Solution

    |

  2. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  3. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

    Text Solution

    |

  4. Which of the following point lying on the line x + 2y = 5 is at minimu...

    Text Solution

    |

  5. The maximum distance of the point (a, 0) from the curve 2x^(2) + y^(2)...

    Text Solution

    |

  6. The point on the line y = x such that the sum of the squares of its di...

    Text Solution

    |

  7. if the complete set of values (s) of 'a' for which the function f (x)...

    Text Solution

    |

  8. If the point (1,3) serves as the point of inflection of the curve y =...

    Text Solution

    |

  9. The equation x^(3) - 3x + [a] = 0 , will have three real and distinct ...

    Text Solution

    |

  10. Solution(s) of the equation. 3x^2-2x^3 = log2 (x^2 + 1) - log2 x is/ar...

    Text Solution

    |

  11. Let f(x)=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1. If f(x) has positive po...

    Text Solution

    |

  12. If the function f(x) = x^3-9x^2 +24x + c has three real and distinct r...

    Text Solution

    |

  13. A and B are the points (2, 0) and (0, 2) respectively. The coordinates...

    Text Solution

    |

  14. Two points A(1, 4) & B(3, 0) are given on the ellipse 2x^(2) + y^(2) =...

    Text Solution

    |

  15. Least value of the function , f(x)=2^(x^2)-1+2/(2^(x^2)+1) is :

    Text Solution

    |

  16. The coordinate of the point at which minimum value of Z = 7x - 8y, sub...

    Text Solution

    |

  17. Maximum and minimum value of f(x) = max (sin t), 0 lt t lt x le 0 x l...

    Text Solution

    |

  18. If a^2x^4+b^2y^4=c^6, then the maximum value of x y is (c^2)/(sqrt(a b...

    Text Solution

    |

  19. Let f(x) =sin ({x})/(a) + cos ({x})/(a) where a gt 0 and {.} denotes t...

    Text Solution

    |

  20. The maximum value of f(x) , if f(x) + f ((1)/(x)) = (1)/(x) , x in ...

    Text Solution

    |