Home
Class 11
MATHS
The set of all possible real values of a...

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 `(0,1)` b. `(oo,-1]` c. `(-oo,-1)` d. `(1,oo)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

Find the set of all possible real value of a such that the inequality (x-(a-1))(x-(a^2+2))<0 holds for all x in (-1,3)dot

Find the set of all real values of x satisfying the inequality sec^(-1)xgt tan^(-1)x .

The set of real values of x satisfying the inequality log_(x+1/x)(log_2((x-1)/(x+2))) gt 0, is equal to

Let set of all possible values of lamda such that f (x)= e ^(2x) - (lamda+1) e ^(x) +2x is monotonically increasing for AA x in R is (-oo, k]. Find the value of k.

The set of all values of x satisfying the inequations (x-1)^(3) (x+1) lt 0 is

The set of real values of x satisfying the inequality |x^(2) + x -6| lt 6 , is

let f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2) if x is 0 to 1 and f(x)=2x-3 if x if 1 to 3 .All possible real values of b such that f (x) has the smallest value at x=1 are

The set of real values of x satisfying ||x-1|-1|le 1 , is

The set of real values of x satisfying the equation |x-1|^(log_3(x^2)-2log_x(9))=(x-1)^7

Find all the possible values of 1/x for x>3 .

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If both roots of the equation a x^2+x+c-a=0 are imaginary and c > -1, ...

    Text Solution

    |

  2. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

    Text Solution

    |

  3. The set of all possible real values of a such that the inequality (x-(...

    Text Solution

    |

  4. Column I, Column II (Locus) parallelogram, p. z1-z4=z2-z3 rectang...

    Text Solution

    |

  5. The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...

    Text Solution

    |

  6. The range of a for which the equation x^2+ax-4=0 has its smaller root ...

    Text Solution

    |

  7. Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 ...

    Text Solution

    |

  8. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

    Text Solution

    |

  9. If n1, n2 are positive integers, then (1 + i)^(n1) + ( 1 + i^3)^(n1) +...

    Text Solution

    |

  10. The total number of values a so that x^2-x-a=0 has integral roots, wh...

    Text Solution

    |

  11. If i=sqrt-1, then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is e...

    Text Solution

    |

  12. Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...

    Text Solution

    |

  13. If a r g(z)<0, then a r g(-z)-"a r g"(z) equals pi (b) -pi (d) -pi/2...

    Text Solution

    |

  14. Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists uniq...

    Text Solution

    |

  15. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

    Text Solution

    |

  16. if a lt c lt b, then check the nature of roots of the equation (a ...

    Text Solution

    |

  17. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

    Text Solution

    |

  18. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

    Text Solution

    |

  19. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3) =(1- i sq...

    Text Solution

    |

  20. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |