Home
Class 12
MATHS
[ If domain of f(x)=sqrt(x^(2)+bx+4) is ...

[ If domain of f(x)=sqrt(x^(2)+bx+4) is R, then maxi- mum possible integral value of b is [ (a) 2, (b) 3 (c) 4, (d) 5]]

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (single correct answer type questions))|20 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise (Concept-based single correct answer type questions)|20 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

Find the domain of f(x)=sqrt(x^2-4x+3)

The domain of f(x)=(x-5)/(x-4)+sqrt(x-4) is

If domain of f(x)=sqrt(log_(2)((x-2)/(3-x))) is (a,b) then value of 2a-b=

The greatest integral value of a such that sqrt(9-a^(2)+2x-x^(2))>=sqrt(16-x^(2)) for at least one positive value of x is (a) 3 (b) 4 (c) 6 (d) 7

If 4^(x)-2^(x+2)+5+||b-1|-3|=|sin y|,x,y,b in R then the possible value of b is

Let h(x)=|k x+5|,then domainof f(x) be [-5,7], the domain of f(h(x)) be [-6,1],and the range of h(x) be the same as the domain of f(x). Then the value of k is. (a)1 (b) 2 (c) 3 (d) 4

If the domain of the function f(x) = sqrt(3 cos^(-1) (4x) - pi) is [a, b] , then the value of (4a + 64b) is ___

If both roots of the equation ax^(2)+bx+c=0 lies in (3,8) then possible integral value of one of the root of the equation a((x)/(x-4))^(2)+b((x)/(x-4))+c=0

Find the domain? f(x)=sqrt((x^(2)+4x)C_(2x^(2)+3))

If the equation cot^(4)x-2cos ec^(2)x+a^(2)=0 has at least one solution,then the sum of all possible integral values of a is equal to a.4b .3c.2d.0

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
  1. If both the roots of the equation are negative x^2-(p-4)x+2e^(2lnp)-4=...

    Text Solution

    |

  2. [ Let f and g be two real valued functions and S={x|f(x)=0} and T={x|g...

    Text Solution

    |

  3. [ If domain of f(x)=sqrt(x^(2)+bx+4) is R, then maxi- mum possible in...

    Text Solution

    |

  4. If p in (-1, 1) , then roots of the quadratic equation (p - 1)x^(2) + ...

    Text Solution

    |

  5. If a,b,c are positive real numbers, then the number of positive real r...

    Text Solution

    |

  6. If the roots of the equation x^(2) + p^(2) = 8x + 6p are real, then p ...

    Text Solution

    |

  7. If the sum of the roots of the equation (a+1)x^2=(2a+3)x+(3a+4)=0 is -...

    Text Solution

    |

  8. If 3 - 4i is a root of x^(2) - px + q = 0 where p, q in R. then value...

    Text Solution

    |

  9. If x = 1 + i is a root of x^(3) - ix + 1 - i = 0 , then the quadratic ...

    Text Solution

    |

  10. If alpha and beta be the roots of the eqution x^(2) +px -1/ (2p^(2))...

    Text Solution

    |

  11. The equation sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))= hs

    Text Solution

    |

  12. The equation [ x - x^(2) - 1| = |2 x - 3 - x^(2) ] has

    Text Solution

    |

  13. If sin alpha, cos alpha are the roots of the equation ax^(2) + bx + c ...

    Text Solution

    |

  14. If x is real and k=(x^2-x+1)/(x2+x+1) , then k in [1//3,3] (b) kgeq3 ...

    Text Solution

    |

  15. If the equation x^(2) + bx + ca = 0 and x^(2) + cx + ab = 0 have a com...

    Text Solution

    |

  16. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

    Text Solution

    |

  17. Suppose, a, b, c are three distinct real numbers. Let P (x) =((x-b)(x-...

    Text Solution

    |

  18. If ax^(2) + bx + c, a, b, c in R, a ne 0 has real zero and a - b + c l...

    Text Solution

    |

  19. If alpha, beta are the roots of the equation x^(2)-2x-a^(2)+1=0 and ga...

    Text Solution

    |

  20. If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and a...

    Text Solution

    |