Home
Class 12
MATHS
The set of value(s) of a for which the f...

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

A

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

B

`{-4/5}`

C

(-2,0)

D

empty set

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|36 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -1|102 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

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

If the complete set of value(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 ___________ .

The set of all values of a for which the function f(x)=(a^2-3a+2)(cos^2\ x/4-sin^2\ x/4)+(a-1)x+sin1 does not possess critical points is (A) [1,oo) (B) (0,1) uu (1,4) (C) (-2,4) (D) (1,3) uu (3,5)

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 (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)

The set of all values of ' a ' for which the quadratic equation 3x^2+2(a^2-3a+2)=0 possess roots of opposite sign, is a. (-oo,1) b. (-oo,0) c. (1,2) d. (3//2,2)

The set of all values of m for which both the roots of the equation x^2-(m+1)x+m+4=0 are real and negative is (a) (-oo,-3]uu[5,oo) (b) [-3,5] (c) (-4,-3] (d) (-3,-1]

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

If (log)_3(x^2-6x+11)lt=1, then the exhaustive range of values of x is: (a) (-oo,2)uu(4,oo) (b) (2,4) (c) (-oo,1)uu(1,3)uu(4,oo) (d) none of these

The exhaustive set of values of a for which inequation (a -1)x^2- (a+1)x+ a -1>=0 is true AA x >2 (a) (-oo,1) (b)[7/3,oo) (c) [3/7,oo) (d) none of these

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -2
  1. f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log(e)x). ...

    Text Solution

    |

  2. f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log(e)x). ...

    Text Solution

    |

  3. f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log(e)x). ...

    Text Solution

    |

  4. Given a function f:[0,4]toR is differentiable ,then prove that for som...

    Text Solution

    |

  5. With the help of Lagrange's formula, prove that (a-b)/(a) le log (a/b)...

    Text Solution

    |

  6. The function f(x)=int(0)^(x)sqrt(1-t^(4)) dt is such that

    Text Solution

    |

  7. The function (sin(x+a))/(sin(x+b)) has no maxima or minima if

    Text Solution

    |

  8. The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^...

    Text Solution

    |

  9. If f(x) is a cubic polynomial which has local maximum at x=-1,If f(2...

    Text Solution

    |

  10. If f(x) is a polynomial of degree 4 having extremum at x=1,2 and lim(x...

    Text Solution

    |

  11. The maximum value of the function f(x)=3x^(3)-18x^(2)+27x-40 on the s...

    Text Solution

    |

  12. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

    Text Solution

    |

  13. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  14. The equation x^3-3x+[a]=0, where [*] denotes the greatest integer func...

    Text Solution

    |

  15. If the function f:[0,4]vecR is differentiable, the show that for a , b...

    Text Solution

    |

  16. For a twice differentiable function f(x),g(x) is defined as g(x)=f^(pr...

    Text Solution

    |

  17. A function y=f(x) has a second-order derivative f''(x)=6(x-1)dot It it...

    Text Solution

    |

  18. Function f(x), g(x) are defined on [-1, 3] and f''(x) > 0, g''(x) > 0 ...

    Text Solution

    |

  19. If a << b << c << d and x in R then the least value of the function,...

    Text Solution

    |

  20. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |