Home
Class 11
MATHS
Value (s) of 'a' for which ax^2+(a-3)x+1...

Value (s) of 'a' for which `ax^2+(a-3)x+1lt0` for at least one positive x.

A

R

B

`R^+`

C

`(0,infty)`

D

`(-infty,1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

If x^2-(a-3)x+a =0 has at least one positive root,then

Find the values of a for which sin^(-1)x=|x-a| will have at least one solution.

The values of 'a' for which the equation 4^x-a2^x-a+3=0 has at least one solution.

The least value of a in RR " for which " 4ax^(2)+(1)/(x)ge1 " for all" xgt0 , is

If x and a are real, then the value of a for which the expression x^(2)-(3a)/(2)x+1-a^(2) is positive, is

Find the value(s) of 'a' for which the inequality tan^(2)x + (a+1) tanx-(a-3)<0 , is true for at least one x∈(0,pi/2) .

Find all real values of a for which the equation x^4+(a-1)x^3+x^2+(a-1)x+1=0 possesses at least two distinct positive roots.

IF x is real , find the real values of a which make x^2-ax+1-2a^2 always positive.

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. Ifalpha,beta are the roots of x^2+px+q=0 and also of x^(2n)+p^n x^n+q^...

    Text Solution

    |

  2. If 3^x.8^(x/(x+2))=6, then x equals.

    Text Solution

    |

  3. Value (s) of 'a' for which ax^2+(a-3)x+1lt0 for at least one positive ...

    Text Solution

    |

  4. Number of solution of abs(x^2+4x+3) + 2x+5=0 is/are

    Text Solution

    |

  5. If roots of x^2-(a-3)x+a=0 are such that both of them is greater than ...

    Text Solution

    |

  6. solve the inequality(16)^(1//x)/((2^(x+3)))gt1

    Text Solution

    |

  7. Let alpha,beta be the roots of the equation (x-a)(x-b)=c, c≠ 0. Then t...

    Text Solution

    |

  8. If p and q are odd integers,then the equation x^2+2px+2q=0

    Text Solution

    |

  9. If x^2+mx+1=0 and (b-c)x^2+(c-a)x+(a-b)=0 have both roots common,then

    Text Solution

    |

  10. Solution set of x satisfying abs(x-1)+abs(x-2)+abs(x-3)ge6 is

    Text Solution

    |

  11. The equation (x/(x+1))^2+(x/(x-1))^2=a(a-1) has

    Text Solution

    |

  12. If alpha and beta are roots of the equation ax^2+bx+c=0 and, if px^2+q...

    Text Solution

    |

  13. Ifax^2-bx+c=0 has two distinct roots lying in the interval (0,1),a,b,c...

    Text Solution

    |

  14. If ax^2+bx+c=0 and cx^2+bx+a=0 (a,b,cinR) have a common non-real roots...

    Text Solution

    |

  15. LetP(x)=0 be the polynomial equation of least possible degree with rat...

    Text Solution

    |

  16. If 2a+3b+6c=0(a,b,cinR), then the quadratic equation ax^2+bx+c=0 has

    Text Solution

    |

  17. If (alpha,beta)∈ R are two of an quadratic equations,then the equation...

    Text Solution

    |

  18. If a,binR are two of an quadratic equations,then the equation will be ...

    Text Solution

    |

  19. Letf(x)=x^2+b1x+c1,g(x)=x^2+b2x+c2. Real roots fo f(x)=0 be alpha,beta...

    Text Solution

    |

  20. Letf(x)=x^2+b1x+c1,g(x)=x^2+b2x+c2. Real roots fo f(x)=0 be alpha,beta...

    Text Solution

    |