Home
Class 12
MATHS
The function f(x)=sqrt((a x^3+b x^2+c x+...

The function `f(x)=sqrt((a x^3+b x^2+c x+a))` ha sits non-zero local minimum and local maximum values at `x-2 and x = 2`, respectively. It 'a is a root of `x^2-x-6=0`

A

`a=3`

B

`b=0`

C

`c=24`

D

`d=32`

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The function f(x)=sqrt((ax^(3)+bx^(2)+cx+a)) ha sits non-zero local minimum and local maximum values at x-2 and x=2 , respectively.It a is a root of x^(2)-x-6=0

Find the local maximum value of x(1-x)^(2)0<=x<=

Let g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)andf(x)=sqrt(g(x)),f(x) have its non-zero local minimum and maximum values at -3 and 3 respectively. If a_(3) in the domain of the function h(x)=sin^(-1)((1+x^(2))/(2x)) The value of a_(0) is

Let g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)andf(x)=sqrt(g(x)),f(x) have its non-zero local minimum and maximum values at -3 and 3 respectively. If a_(3) in the domain of the function h(x)=sin^(-1)((1+x^(2))/(2x)) The value of a_(1)+a_(2) is equal to

The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x equal to:

Find the local maximum and local minimum value of f(x)= x^(3)-3x^(2)-24x+5

Find the local maximum and local minimum values of f(x)=sec x+log cos^(2)x,quad 0

Find the local maximum and local minimum value of f(x)=sec x+log cos^(2)x,0

RESONANCE-TEST PAPERS-MATHEMATICS
  1. A lot contains 50 defective and 50 non-defectivebulbs. Two bulbs are d...

    Text Solution

    |

  2. For any two events A and B in a sample space, choose the correct optio...

    Text Solution

    |

  3. The function f(x)=sqrt((a x^3+b x^2+c x+a)) ha sits non-zero local m...

    Text Solution

    |

  4. Let veca=hati-hatj+hatk, vecb=2hati+hatj and vecc=3hatj-2hatk,vecx,vec...

    Text Solution

    |

  5. If g(x) is monotonically increasing and f(x) is monotonically decreasi...

    Text Solution

    |

  6. The radius of a right circular cyliner increases at a constant rate. I...

    Text Solution

    |

  7. Let f(x)=2sin^(3)x+lamdasin^(2)x,-(pi)/2ltxlt(pi)/2. If f(x) has exact...

    Text Solution

    |

  8. The function f(x)= xcos(1/x^2) for x != 0, f(0) =1 then at x = 0, f(x)...

    Text Solution

    |

  9. Let the unit vectors a and b be perpendicular and the unit vector c be...

    Text Solution

    |

  10. The vector equations of two lines L(1) and L(2) are respectively r=17i...

    Text Solution

    |

  11. If r=i+j+lamda(2i+j+4k) and r.(i+2j-k)=3 are the equations of a line a...

    Text Solution

    |

  12. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  13. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  14. A multiple choice question has n options, of whlch only one is correct...

    Text Solution

    |

  15. A multiple choice question has n options, of whlch only one is correct...

    Text Solution

    |

  16. A plane P(1) passing through A(1,2,3), B(3,1,5) and C(-1,0,1) is rotat...

    Text Solution

    |

  17. A plane P(1) passing through A(1,2,3), B(3,1,5) and C(-1,0,1) is rotat...

    Text Solution

    |

  18. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

    Text Solution

    |

  19. The plane x-y-z=2 is rotated through 90^(@) about its line of intersec...

    Text Solution

    |

  20. The volume of a tetrahedron having vertices A(1,1,1),B(1,2,4),C(3,1,-2...

    Text Solution

    |