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

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 x is real :

A

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

B

`|c| sqrt(2) gt b`

C

`0 lt c lt sqrt(2) b`

D

no real value of a.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|13 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos
  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If x is real then the minimum value of (x^(2)-x+1)/(x^(2)+x+1) is

If x is real, the minimum value of x^(2)-8x+17 is :

The maximum value of f(x) = x/(4+x+x^(2)) on [-2,2] is

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions LEVEL-II
  1. The curve y=ax^(3)+bx^(2)+cx is inclined at 45^(@) to X-axis at (0, 0)...

    Text Solution

    |

  2. If log(0.3) (x-1) lt log(0.09) (x-1), then x lies in the interval :

    Text Solution

    |

  3. The angle of intersection of the two curves xy=a^(2) and x^(2)-y^(2)=2...

    Text Solution

    |

  4. The length of subtangent to the curve x^(2)+xy+y^(2)=7 at (1, -3) is ...

    Text Solution

    |

  5. The equation 3x^(2)+4ax+b=0 has atleast one root in (0, 1) if :

    Text Solution

    |

  6. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

    Text Solution

    |

  7. If the normal to the curve y = f(x) at the point (3, 4) makes an angle...

    Text Solution

    |

  8. If x+y=k is normal to y^(2)=12x, then k is :

    Text Solution

    |

  9. The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:

    Text Solution

    |

  10. The greatest distance of the point P(10, 7) form the circle x^(2)+y^(...

    Text Solution

    |

  11. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

    Text Solution

    |

  12. The point(s) on the curve y^(3)+3x^(2)=12y, where the tangent is verti...

    Text Solution

    |

  13. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

    Text Solution

    |

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

    Text Solution

    |

  15. The line 2x+sqrt(6)y=2 is a tangent to the curve x^(2)-2y^(2)=4. The p...

    Text Solution

    |

  16. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  17. Suppose the cubic x^(3)-px+q has three distinct real roots, where p gt...

    Text Solution

    |

  18. The total number of local maxima and local minima of the function : ...

    Text Solution

    |

  19. Let the function g:(-oo, oo) to (-(pi)/(2), (pi)/(2)) be given by g(u)...

    Text Solution

    |

  20. Given P(x)=x^(4)+ax^(3)+ + bx^(2)+cx+d such that x =0 is the only real...

    Text Solution

    |