Home
Class 12
MATHS
suppose x1, and x2 are the point of maxi...

suppose `x_1,` and `x_2` are the point of maximum and the point of minimum respectively of the function `f(x)=2x^3-9ax^2 + 12a^2x + 1` respectively, `(a> o)` then for the equality `x_1^2 = x_2` to be true the value of `'a'` must be

A

0

B

2

C

1

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise TRY YOURSELF|39 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

Let x_(1) and x_(2) are the points of maximum and minimum of function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1 respectively, (a>0).If x_(1)^(3)=8x_(2) then the sum of all possible values of 'a' is

Let x_(1) and x_(2) are the points of maximum and minimum of function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1 respectively, .If x_(1)^(3)=8x_(2) then the sum of all possible values of 'a' is

Let x_(1) and x_(2) are the points of maximum and minimum of function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1 respectively. If x_(1)^(3)=8x_(2) then the sum of all possible values of a is

The minimum value of the function f(x) = 2|x - 1| + |x - 2| is

Find the maximum and minimum values of the function : f(x)=2x^(3)-15x^(2)+36x+11.

Find the points of maximum ( local maximum ) and minimum ( local minimum ) of the function f(x)=x^(3)-3x^(2)-9x ?

Separate the intervals of monotonocity for the function f(x)=-2x^(3)-9x^(2)-12x+1

Determine the maximum and minimum values of the function f(x) = 2x^(3) - 21 x^(2) + 36x-20

Find the maximum and minimum values of the following functions. f(x)=x^(3)-2x^(2)+x+6

The sum of the maximum and minimum values of the function f(x)=(1)/(1+(2cos x-4sin x)^(2)) is

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-A (Competition Level Questions)
  1. suppose x1, and x2 are the point of maximum and the point of minimum r...

    Text Solution

    |

  2. Point A lies on the curve y = e^(x^2) and has the coordinate (x,e^(-x...

    Text Solution

    |

  3. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  4. The number of points of maxima/minima of f(x) =x(x + 1) (x +2) (x + 3...

    Text Solution

    |

  5. The difference between the greatest and the least values of the functi...

    Text Solution

    |

  6. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

    Text Solution

    |

  7. Difference between the greatest and the least values of the function f...

    Text Solution

    |

  8. If the sum of the lengths of the hypotenuse and another side of a righ...

    Text Solution

    |

  9. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

    Text Solution

    |

  10. The interval on which f(x)=2x^(3)+9x^(2)+12x-1 is decreasing in

    Text Solution

    |

  11. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  12. Divide 64 into two parts such that the sum of the cubes of two part...

    Text Solution

    |

  13. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

    Text Solution

    |

  14. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  15. The real number x when added to its inverse given the minimum value of...

    Text Solution

    |

  16. Which of the following statement is true for the function f(x)={{:(sqr...

    Text Solution

    |

  17. The function f(x)=x^(3)-3x is

    Text Solution

    |

  18. If f(x)=x^(3)+x^(2)+kx+4 is always increasing then least positive int...

    Text Solution

    |

  19. A curve is represented by the equations x=sec^2ta n dy=cott , where t ...

    Text Solution

    |

  20. Statement 1: For all a ,b in R , the function f(x)=3x^4-4x^3+6x^2+a x...

    Text Solution

    |