Home
Class 12
MATHS
If minimum value of f(x)=x^(2)+2bx +2c^(...

If minimum value of `f(x)=x^(2)+2bx +2c^(2) ` is greater than maximum value of `g(x)=-x^(2)-2cx +b^(2) `, then for real value of x-

A

`sqrt(2)|c| gt |b| `

B

`|c| gt sqrt(2)|b| `

C

`0 lt c lt 2b `

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 3|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

The maximum value of 4x-x^2-2 is-

The minimum value of f(x)=2x^(2)+x-1 is-

The minimum value of f(x)= x^(2) + (250)/(x) is-

The maximum value of f(x)=(x-2)(x-3)^2 is

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

IF x be real, then the maximum value of 5+4x-4x^2 will be-

If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

If x is real, the minimum value of x^2 - 10x + 28 is

The maximum value of the function f(x)=5-x-x^(2) is -

If x is real number, then the minimum value of x^2+x+1 is

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 2
  1. The equation of tangent to the curve xy^(2)= 4(4-x) where it meets the...

    Text Solution

    |

  2. The normal to the curve x= 3 cos theta - cos^(3) theta , y=3 sin theta...

    Text Solution

    |

  3. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

    Text Solution

    |

  4. The point on the curve x^(2)+ 2y =10 at which the tangent to the curv...

    Text Solution

    |

  5. Let x and y be two variables and x gt 0 , xy=1, then the minimum valu...

    Text Solution

    |

  6. The function f(x)= 1- x^(3) - x^(5) is decreasing for -

    Text Solution

    |

  7. The function y=a(1- cos x) is maximum when x is-

    Text Solution

    |

  8. Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in ...

    Text Solution

    |

  9. In -4 lt x lt 4 , the function f(x)= int(-10)^(x) (t^(4)-4)e^(-4t) dt...

    Text Solution

    |

  10. If a(1),a(2),a(3),a(4),...,a(n) are n positive real numbers whose prod...

    Text Solution

    |

  11. The length of the longest interval in which the function 3 sin x - 4 s...

    Text Solution

    |

  12. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  13. If minimum value of f(x)=x^(2)+2bx +2c^(2) is greater than maximum va...

    Text Solution

    |

  14. Let f(x)=x^(3) + bx^(2) +cx +d, 0 lt b^(2) lt c . Then f(x)-

    Text Solution

    |

  15. If v=(4)/(3)pir^(3), then the rate (in cubic unit ) at which v is incr...

    Text Solution

    |

  16. If the time rate of change of the radius of a sphere is (1)/(2pi), the...

    Text Solution

    |

  17. The length of a side of a cube is 10 cm, if an error of 0.05 cm is mad...

    Text Solution

    |

  18. Let y=2x^(2)-3x +2, if x changes to 3.02 from 3 , then the approximate...

    Text Solution

    |

  19. Objective function of a linear programming problem is a-

    Text Solution

    |

  20. If the rate of change of y with respect to x is 4 and y is changing at...

    Text Solution

    |