Home
Class 12
MATHS
If y = a logx + bx^(2) + x has its extre...

If y `= a logx + bx^(2) + x` has its extremum value at `x = -1 and x = 2,` then

A

a = 2, b = -1

B

a = 2, b = -1/2

C

a = -2, b = 1/2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos
  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

If y= a log x+bx^(2)+x has its extreme values at x = -1 and x = 2, then :

If f(x) = 1/(4x^(2)+2x+1) , then its maximum value

If 2^(x) + 2^(y) = 2^(x+y) , then the value dy/dx at x = y =1 is

If the function f(x) ={(ax-b, x le1),(3x, 1lt x lt 2),(bx^(2)-a, x ge 2):} is continuous at x =1 and discontinuous at x =2, then

The value of x^(2) + 2bx + c is + ve if :

If ( x+ 1,y -2) =(3,1) Find the values of x and y .

Let for a != a_1 != 0 , f(x)=ax^2+bx+c , g(x)=a_1x^2+b_1x+c_1 and p(x) = f(x) - g(x) . If p(x) = 0 only for x = -1 and p(-2) = 2 then the value of p(2) .

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The condition f(x) = x^(3)+px^(2)+qx+r (x in R) to have no extreme val...

    Text Solution

    |

  2. If m and M respectively the minimum and maximum of f(x)=(x-1)^(2)+3 fo...

    Text Solution

    |

  3. Let, f(x) = int0^(x) (cos t)/t dt. Then x = (2n+1) pi/2, f(x) has

    Text Solution

    |

  4. The point of extremum of the function phi (x) = int1^(x) e^(t^(2)/2) (...

    Text Solution

    |

  5. If f'(x)=(x-a)^(2n)(x-b)^(2p+1), when n and p are positive integers, t...

    Text Solution

    |

  6. If f(x) = kx^(3) - 9x^(2) +9x + 3 is increasing on R then

    Text Solution

    |

  7. If h(x) = f(x) + f(-x) then h(x) has got an extreme value at a point w...

    Text Solution

    |

  8. If a lt 0, the function f(x)=e^(ax)+e^(-ax) is decreasing for all valu...

    Text Solution

    |

  9. If a lt 0, f(x) = e^(ax) + e^(-ax) and S = {x: f(x) is monotonically ...

    Text Solution

    |

  10. If y = a logx + bx^(2) + x has its extremum value at x = -1 and x = 2,...

    Text Solution

    |

  11. f(x) = ((e^(2x)-1)/(e^(2x)+1)) is

    Text Solution

    |

  12. If f(x) = 2x^(3)-21x^(2)+36x-30, then for f(x) which one of the follow...

    Text Solution

    |

  13. The value of k in order that f(x)=sin x-cos x-kx +b decrease for all r...

    Text Solution

    |

  14. The maximum area of a rectangle that can be inscribed in a circle of r...

    Text Solution

    |

  15. The maximum value of (logx)/(x) in (2,oo) is

    Text Solution

    |

  16. The minimum value of 26^(cos 2x) 81 ^(sin 2x) is

    Text Solution

    |

  17. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  18. The set of real values of x for which f(x)=(x)/(logx) is increasing is...

    Text Solution

    |

  19. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  20. The maximum value of ((1)/(x))^(2x^(2)) is :

    Text Solution

    |