Home
Class 12
MATHS
The number of real values of 'a' for whi...

The number of real values of 'a' for which the largest value of the functin `f (x) =x ^(2) + ax +2 ` in the interval `[-2, 4]` is 6 will be :

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|3 Videos

  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

The greatest value of the function f(x)=2. 3^(3x)-3^(2x). 4+2. 3^x in the interval [-1,1] is

Verify mean value theorem, if f(x) = x^(2) - 4x in the interval [1, 4].

The value of a for which all extremum of function f(x)=x^(3)+3ax^(2)+3(a^(2)-1)x+1 , lie in the interval (2, 4) is

The value of c in Lgrange's Mean Value theorem for the function f(x) =x(x-2) in the interval [1,2] is

Verify Lagrange's Mean Value Theorem for the function f(x)=sqrt(x^(2)-x) in the interval [1,4] .

Find sum of all possible values of the real parameter 'b' if the difference between the largest and smallest values of the function f (x) = x ^(2) -2bx + 1 in the interval [0,1] is 4.

The number of integral values of a for which f(x) = x^3 + (a + 2)x^2 + 3ax + 5 is monotonic in AA x in R

Verify the Mean Value Theorm for f(x)= x^2 in the interval [2,4].

The set of all real values of x for which the funciton f(x) = sqrt(sin x + cos x )+sqrt(7x -x^(2) - 6) takes real values is

Let f(x) = 4x^(2)-4ax+a^(2)-2a+2 and the golbal minimum value of f(x) for x in [0,2] is equal to 3 The number of values of a for which the global minimum value equal to 3 for x in [0,2] occurs at the endpoint of interval[0,2] is

VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The integral values of x for which x^2 +17x+71 is perfect square of a ...

    Text Solution

    |

  2. Let P (x)=x ^(6) -x ^(5) -x ^(3) -x ^(2) -x and alpha, beta, gamma, de...

    Text Solution

    |

  3. The number of real values of 'a' for which the largest value of the fu...

    Text Solution

    |

  4. The number of all values of n, (whre pi is a whole number ) for which ...

    Text Solution

    |

  5. The number of negative intergral values of m for which the expression ...

    Text Solution

    |

  6. If the expression ax ^(4)+bx^(3)-x ^(2)+2x+3 has the remainder 4x +3 w...

    Text Solution

    |

  7. The smallest value of k for which both roots of the equation x^(2)-8kx...

    Text Solution

    |

  8. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

    Text Solution

    |

  9. The sum of all real values of k for which the expression x ^(2)+2xy +k...

    Text Solution

    |

  10. The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...

    Text Solution

    |

  11. Find the number of integral vaues of 'a' for which the range of functi...

    Text Solution

    |

  12. When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...

    Text Solution

    |

  13. Let p(x)=0 be a polynomial equation of the least possible degree, with...

    Text Solution

    |

  14. The range of value's of k for which the equation 2 cos^(4) x - sin^(4...

    Text Solution

    |

  15. Let p (x) be a polynomial with real coefficient and p (x)-p'(x) =x^(2)...

    Text Solution

    |

  16. Find the smallest positive integral value of a for which the greater r...

    Text Solution

    |

  17. If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real root...

    Text Solution

    |

  18. Let a,b,c, d be the roots of x ^(4) -x ^(3)-x ^(2) -1=0. Also consider...

    Text Solution

    |

  19. The number of integral value of a,a, in [-5, 5] for which the equation...

    Text Solution

    |

  20. The number of non-negative integral vlaues of n, n le 10 so that a roo...

    Text Solution

    |