Home
Class 12
MATHS
Let f(x)=ax^(2)+bx+c,ab,c in R. It is gi...

Let `f(x)=ax^(2)+bx+c,ab,c in R.` It is given `|f(x)|le1,|x|le1`
The possible value of `|a+c|,if(8)/(3)a^(2)+2ab^(2)` is maximum is given by

A

1

B

0

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|3 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos
  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise FUNCTION EXERCISE 8:Questions Asked in Previous 10 Years Exams|1 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = ax^2 + bx +C,a,b,c in R .It is given |f(x)|<=1,|x|<=1 The possible value of |a + c| ,if 8/3a^2+2b^2 is maximum, is given by

Let f(x) = ax^2 + bx +C,a,b,c in R .It is given |f(x)|<=1,|x|<=1 The possible value of |a + c| ,if 8/3a^2+2b^2 is maximum, is given by

Let f(x) = ax^(2) - bx + c^(2), b ne 0 and f(x) ne 0 for all x in R . Then

Let f(x) = a x^2 + bx + c , where a, b, c in R, a!=0 . Suppose |f(x)| leq1, x in [0,1] , then

If f(x)=ax^(2)+bx+c and f(-1) ge -4 , f(1) le 0 and f(3) ge 5 , then the least value of a is

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

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

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

Let f(x)={{:(,x^(3),x lt 1),(,ax^(2)+bx+c,:x ge 1):} . If f''(1) exists, then the value of (a^(2)+b^(2)+c^(2)) is

Let f(X) = ax^(2) + bx + c . Consider the following diagram .

ARIHANT MATHS ENGLISH-ESSENTIAL MATHEMATICAL TOOLS -Exercise (Passage Based Questions)
  1. Let f(x)=ax^(2)+bx+c,ab,c in R. It is given |f(x)|le1,|x|le1 The po...

    Text Solution

    |

  2. Let f(x) = ax^2 + bx +C,a,b,c in R.It is given |f(x)|<=1,|x|<=1 T...

    Text Solution

    |

  3. Let f(x)=ax^(2)+bx+c,ab,c in R. It is given |f(x)|le1,|x|le1 The po...

    Text Solution

    |

  4. Consider the equation|2x|-|x-4|=x+4 The least integer satisfying the e...

    Text Solution

    |

  5. Consider the equation|2x|-|x-4|=x+4 Total number of prime numbers less...

    Text Solution

    |

  6. Consider a number N=21 P 5 3 Q 4. The number of ordered pairs (P,Q)...

    Text Solution

    |

  7. Consider a number n=21 P 5 3 Q 4. The number of values of Q so that ...

    Text Solution

    |

  8. Consider a number N = 2 1 P 5 3 Q 4. The number of ordered pairs (P,Q...

    Text Solution

    |

  9. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. If p is ...

    Text Solution

    |

  10. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. If q is ...

    Text Solution

    |

  11. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The numb...

    Text Solution

    |

  12. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The num...

    Text Solution

    |

  13. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The num...

    Text Solution

    |

  14. The set of intergers can be classified into k classes, according to th...

    Text Solution

    |

  15. The set of intergers can be classified into k classes, according to th...

    Text Solution

    |

  16. The set of intergers can be classified into k classes, according to th...

    Text Solution

    |