Home
Class 12
MATHS
Let S be the set of real values of param...

Let S be the set of real values of parameter `lamda` for which the equation f(x) = `2x^(3)-3(2+lamda)x^(2)+12lamda` x has exactly one local maximum and exactly one local minimum. Then S is a subset of

A

`lamda in (-4,oo)`

B

` lamda in (-oo,0)`

C

`lamda in (-3,3)`

D

`lamda in (1,oo)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|16 Videos
  • APPLICATION OF DERIVATIVES

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|8 Videos
  • APPLICATION OF DERIVATIVES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos
  • AREA UNDER CURVES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

Find the sum of all possible integral values of in [1,100] for which the function f(x)=2x^(3)-3(2+alpha)x^(2) has exactly one local maximum and one local minimum.

The set of all real value of lambda for which the functio f(x) = (1-cos^(2)x) . (lambda + sinx) , xe(-(pi)/(2) , (pi)/(2)) has exactly one maxina and exactly one minima is

Let f(x)=2x^(3)-3(2+p)x^(2)+12px If f(x) has exactly one local maxima and one local minima, then the number of integral values of p is ....

Let f(x)=2x^(3)-3(2+p)x^(2)+12px+ln(16) , f(x) has exactly one local maxima and one local minima, then the number of integral values of p is (are)

Let f(x)=2x^(3)-3(2+p)x^(2)+12px+ln(16-p^(2)) If f(x) has exactly one local maxima and one local minima, then the number of integral values of p is

Let f(x)=2x^(3)-3(2+p)x^(2)+12px+ln(16-p^(2)) . If f(x) has exactly one local maxima and one local minima, then the number of integral values of p is

Let f(x)= 2x^(3)-3(2+P)x^(2)+12Px+ln(16-P^(2)) .If f(x) has exactly one local minimum,one local maximum.Then the number of integral values of P is

Let f(x)=sinx-x" on"[0,pi//2] find local maximum and local minimum.

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

VK JAISWAL-APPLICATION OF DERIVATIVES -EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )
  1. Let f (x) be twice differentialbe function such that f'' (x) gt 0 in [...

    Text Solution

    |

  2. Let g (x) be a cubic polnomial having local maximum at x=-1 and g '(x)...

    Text Solution

    |

  3. Let S be the set of real values of parameter lamda for which the equat...

    Text Solution

    |

  4. The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

    Text Solution

    |

  5. Let m and n bwe positive integers and x,y gt 0 and x+y =k, where k is ...

    Text Solution

    |

  6. Determine the equation of straight line which is tangent at one point ...

    Text Solution

    |

  7. A curve is such that the ratio of the subnomal at any point to the sum...

    Text Solution

    |

  8. Number of A parabola of the form y= ax^2 +bx+c with a>0 intersectio...

    Text Solution

    |

  9. Find the gradient of the line passing through the point (2,8) and touc...

    Text Solution

    |

  10. The equation x + cos x = a has exactly one positive root. Complete set...

    Text Solution

    |

  11. Given that f (x) is a non-constant linear function. Then the curves :

    Text Solution

    |

  12. d (x) = int (0) ^(x) e ^(t ^(3)) (t ^(2) -1) (t+1) ^(2011) at (x gt 0)...

    Text Solution

    |

  13. Let f(x)=sinx+a x+bdot Then which of the following is/are true? f(x)=0...

    Text Solution

    |

  14. Which of the following graphs represent function whose derivatives hav...

    Text Solution

    |

  15. Consider f (x)= sin ^(5) x-1, x in [0, (pi)/(2)], which of the followi...

    Text Solution

    |

  16. Let f (x)= [{:(x ^(2alpha+1)ln x ,,, x gt0),(0 ,,, x =0):} If f (x) sa...

    Text Solution

    |

  17. Which of the following is/are true for the function f(x)= int (0) ^(x)...

    Text Solution

    |

  18. Let F (x) = (f (x ))^(2) + (f' (x ))^(2), F (0) =6, whtere f (x) is a ...

    Text Solution

    |

  19. Let f(x) = {{:( x^(3) + x^(2) - 10 x ,, -1 le x lt 0) , (sin x ,, 0 le...

    Text Solution

    |

  20. Minimum distnace between the curves y ^(2) =x-1and x ^(2) =x-1 and x ^...

    Text Solution

    |