Home
Class 12
MATHS
Find the set of all possible real value ...

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`

A

`(1, oo)`

B

`(-oo, -1)`

C

`(-oo, 1)`

D

`(0, 1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 86

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 88

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Illustration 1.2 Find the set of all possible real values of a such that the inequality (x (a 1) (x (a2 2) 0 holds for all x E (-1,3)

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)

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

Find the possible values of 'a' such that the inequality 3-x^(2)gt |x-a| has atleast one negative solution

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

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

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.

Set of all real values of x satisfying the inequation sqrt(4-x^(2))>=(1)/(x) is

The set of all values of x satisfying the inequality (sec^(-1)x)^(2)-7(sec^(-1)x)+12>=0 is

Find the set of values of x for which the inequality In(1+x)>(x)/(1+x) is valid.

NTA MOCK TESTS-NTA JEE MOCK TEST 87-MATHEMATICS
  1. In the expansion of (3sqrt(a/b)+3sqrt(b/sqrt(a)))^21, the term contain...

    Text Solution

    |

  2. The least value of n (n in N), such that the function f(n, x)=int n co...

    Text Solution

    |

  3. Find the set of all possible real value of a such that the inequality ...

    Text Solution

    |

  4. The area (in sq. units) of the circle touching the line x+y=4 at (1, 3...

    Text Solution

    |

  5. Consider a function f:R rarr R defined by f(x)=x^(3)+4x+5, then

    Text Solution

    |

  6. Let A=[(-4, -3, -3),(1, a, 1),(4, b, 3)] and A=A^(-1), then a+2b is eq...

    Text Solution

    |

  7. An unbiased die is rolled n times. Let P(A), P(B) and P(C ) be the pro...

    Text Solution

    |

  8. Let A=[a(ij)](3xx3) be a square matrix such that A A^(T)=4I, |A| lt 0....

    Text Solution

    |

  9. If the lines (x-3)/(2)=(y-5)/(2)=(z-4)/(lambda) and (x-2)/(lambda)=(y-...

    Text Solution

    |

  10. Let f: (-1,1)toR be a function defind by f(x) =max. {-absx,-sqrt(1-x^2...

    Text Solution

    |

  11. Number of ordered pairs (a, x) satisfying the equation sec^2(a+2)x+a^2...

    Text Solution

    |

  12. Which of the following option is incorrect?

    Text Solution

    |

  13. The value of 2cos^(-1)sqrt((2)/(3))-2cos^(-1).(sqrt6+1)/(2sqrt3) is eq...

    Text Solution

    |

  14. If a tangent drawn at P(alpha, alpha^(3)) to the curve y=x^(3) meets i...

    Text Solution

    |

  15. The slope of normal at any point P of a curve (lying in the first quad...

    Text Solution

    |

  16. A shopkeeper has 11 copies each of nine different books, then the numb...

    Text Solution

    |

  17. Let |z(1)|=3, |z(2)|=2 and z(1)+z(2)+z(3)=3+4i. If the real part of (...

    Text Solution

    |

  18. From a point P, two tangents PA and PB are drawn to the hyperbola (x^(...

    Text Solution

    |

  19. If sin 2A=(1)/(2) and sin 2B=-(1)/(2), then which of the following is ...

    Text Solution

    |

  20. Let B and C are the points of intersection of the parabola x=y^(2) and...

    Text Solution

    |