Home
Class 12
MATHS
Let f (x) =x ^(2) + ax +b. If the maximu...

Let `f (x) =x ^(2) + ax +b.` If the maximum and the minimum values of `f (x) ` are 3 and 2 respectively for `0 le x le 2,` then the possible ordered pair of `(a,b)` is :

A

`(-2,3)`

B

`(-3//2,2)`

C

`(-5//2, 3)`

D

`(-5//2, 2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|42 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 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

Let f(x) = x^2 + ax + b . If the maximum and the minimum values of f(x) are 3 and 2 respectively for 0 <= x <= 2 , then the possible ordered pair(s) of (a,b) is/are

Let |f (x)| le sin ^(2) x, AA x in R, then

If 02 le x le 2 , the maximum value of f(x)=1-x^(2) is

Let f (x)= max (x,x ^(2) x ^(3)) in -2 le x le 2. Then:

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

Let f(x) = x(2-x), 0 le x le 2 . If the definition of f(x) is extended over the set R-[0,2] by f (x+1)= f(x) , then f is a

Let f(x)=2x^(3)-3(a+b)x^(2)+6abx . If a gt b , determine the local maximum / minimum points of f(x). If a=b, how will the answer change ?

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

If f(x)=cos^(-1)(x^((3)/(2))-sqrt(1-x-x^(2)+x^(3))),AA 0 le x le 1 then the minimum value of f(x) is

let f(x) = {:{( x^(2) , x le 0) , ( ax , x gt 0):} then f (x) is derivable at x = 0 if

VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. Let f (x) =x ^(2) + ax +b. If the maximum and the minimum values of f ...

    Text Solution

    |

  2. Let f(x) = ax^2 + bx + c where a,b,c are integers. If sin\ pi/7 * sin\...

    Text Solution

    |

  3. Let a,b,c,d be distinct integers such that the equation (x-a) (x-b) (x...

    Text Solution

    |

  4. Consider the equation (x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=0--(1), w...

    Text Solution

    |

  5. The number of positive integral values of m, m le 16 for which the equ...

    Text Solution

    |

  6. If the equation (m^(2) -12 )x^(4) -8x ^(2)-4=0 has no real roots, then...

    Text Solution

    |

  7. The least rositive integral value of 'x' satisfying (e ^(x) -2) (sin (...

    Text Solution

    |

  8. The integral values of x for which x^2 +17x+71 is perfect square of a ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |