Home
Class 12
MATHS
It is given that at x=1 , the function x...

It is given that at `x=1` , the function `x^4-62 x^2+a x+9` attains its maximum value on the interval `[0,\ 2]` . Find the value of `a` .

A

120

B

-120

C

52

D

60

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos
  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos
  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

Find the maximum value of 2x^3-24 x+107 in the interval [1,\ 3] .

At what points in the interval [0,2pi] , does the function sin 2x attain its maximum value?

Find the maximum value of the function x^(1//x) .

Find the maximum and minimum values of f(x)=x+sin2x in the interval [0,\ 2pi]

The value of the function (x-1)(x-2)^2 at its maxima is

Find the maximum value of the function x * e^(-x) .

If the function f(x) = axe^(bx^(2)) has maximum value at x=2 such that f(2) =1 , then find the values of a and b

In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum value at the point (a) 0 (b) 1/4 (c) 1/2 (d) 1/3

If x+y=1 then find the maximum value of the function xy^2

The number of values of x where the function f(x)=cos x +cos (sqrt(2)x) attains its maximum value is

OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Exercise
  1. The points of extremum of phi (x)=int(1)^(x)e^(-t^(2//2)) (1-t^(2)) dt...

    Text Solution

    |

  2. Let f(x)=int0^x (cost)/tdt Then at x=(2n+1)pi/2 f(x) has

    Text Solution

    |

  3. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  4. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

    Text Solution

    |

  5. The minimum value of (x-a)(x-b) is

    Text Solution

    |

  6. The altitude of a right circular cone of minimum volume circumscired a...

    Text Solution

    |

  7. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

    Text Solution

    |

  8. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

    Text Solution

    |

  9. In a triangleA B C ,/B=90^0 and b+a=4. The area of the triangle is ma...

    Text Solution

    |

  10. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

    Text Solution

    |

  11. Maximum area of a reactangle which can be inscribed in a circle of a...

    Text Solution

    |

  12. If f(x)={:{(3x^2+12x-1"," -1le x le2),(37-x ","2 lt x le 3):} then

    Text Solution

    |

  13. The perimeter of a sector is p. The area of the sector is maximum when...

    Text Solution

    |

  14. If a^(2)x^(4)b^(2)y^(4)=c^(6)(a,b,x,y,cgt0) then the maximum value of ...

    Text Solution

    |

  15. The function int(-1)^(x)t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has local mini...

    Text Solution

    |

  16. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

    Text Solution

    |

  17. Let a,b,c be positive real parameter and ax^2+ b/x^2gec, AA xepsilonR ...

    Text Solution

    |

  18. If xy=a^2 and S = b^2x + c^2y where a, b and c are constants then the ...

    Text Solution

    |

  19. Let f(x)=e^x sinx , slope of the curve y=f(x) is maximum at x=a if 'a'...

    Text Solution

    |

  20. If a gt b gt0 then maximum value of (ab(a^2-b^2)sinxcosx)/(a^2sin^2...

    Text Solution

    |