Home
Class 11
MATHS
Set of all real value of a such that f(x...

Set of all real value of `a` such that `f(x)=((2a-1)x^2+2(a+1)x+(2a-1))/(x^2-2x+40)` is always negative is a. `(-oo,0)` b. `(0,oo)` c. `(-oo,1/2)` d. none

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

The set of all possible real values of a such that the inequality (x-(a-1))(x-(a^2-1))<0 holds for all x in (-1,3) is a. (0,1) b. (oo,-1] c. (-oo,-1) d. (1,oo)

The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection is (a) (-oo,-2)uu(0,oo) (b) {-4/5} (c) (-2,0) (d) empty set

If S is the set of all real x such that (2x-1)/(2x^3+3x^2+x) is positive (-oo,-3/2) b. (-3/2,1/4) c. (-1/4,1/2) d. (1/2,3) e. None of these

The exhaustive set of values of a for which inequation (a -1)x^2- (a+1)x+ a -1>=0 is true AA x >2 (a) (-oo,1) (b)[7/3,oo) (c) [3/7,oo) (d) none of these

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.

The possible values of a such that the equation x^2+2a x+a=sqrt(a^2+x-1/(16))-1/(16),xgeq-a , has two distinct real roots are given by: (a) [0,1] (b) [-oo,0] (c) [0,oo] (d) (3/4,oo)

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/2)sin^2(x/2) does not possess critical points is (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)

f(x)={4x-x^3+ln(a^2-3a+3),0lt=x x-18 ,xgeq3 complete set of values of a such that f(x) as a local minima at x=3 is (a) [-1,2] (b) (-oo,1)uu(2,oo) (c) [1,2] (d) (-oo,-1)uu(2,oo)

f(x)=(x-2)|x-3| is monotonically increasing in (a) (-oo,5/2)uu(3,oo) (b) (5/2,oo) (c) (2,oo) (d) (-oo,3)

Let f:(0,oo)toRR be a differentiable function such that f'(x)=2-(f(x))/(x) for all x in(0,oo) and f(1)ne1 . Then-

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If x is real, then x//(x^2-5x+9) lies between a.-1a n d-1//11 b. ...

    Text Solution

    |

  2. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

    Text Solution

    |

  3. Set of all real value of a such that f(x)=((2a-1)x^2+2(a+1)x+(2a-1))/(...

    Text Solution

    |

  4. Find the real part of e^(ei theta)

    Text Solution

    |

  5. If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value ...

    Text Solution

    |

  6. Prove that z=i^i, where i=sqrt-1, is purely real.

    Text Solution

    |

  7. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3+K x^...

    Text Solution

    |

  8. In A B C ,A(z1),B(z2),a n dC(z3) are inscribed in the circle |z|=5. I...

    Text Solution

    |

  9. Suppose that f(x) isa quadratic expresson positive for all real xdot I...

    Text Solution

    |

  10. Multiply: (2+5i)(4-3i)

    Text Solution

    |

  11. Let f(x)=ax^2-bx+c^2, b != 0 and f(x) != 0 for all x ∈ R. Then (a) ...

    Text Solution

    |

  12. It is given that n is an odd integer greater than 3 but n is not a mul...

    Text Solution

    |

  13. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

    Text Solution

    |

  14. Find the complex number omega satisfying the equation z^3=8i and lyi...

    Text Solution

    |

  15. If the expression [m x-1+(1//x)] is non-negative for all positive real...

    Text Solution

    |

  16. When the polynomial 5x^3+M x+N is divided by x^2+x+1, the remainder is...

    Text Solution

    |

  17. x1 and x2 are the roots of a x^2+b x+c=0 and x1x2<0. Roots of x1(x-x2)...

    Text Solution

    |

  18. ifomegaa n domega^2 are the nonreal cube roots of unity and [1//(a+ome...

    Text Solution

    |

  19. If a ,b ,c ,d are four consecutive terms of an increasing A.P., then t...

    Text Solution

    |

  20. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

    Text Solution

    |