Home
Class 12
MATHS
If x^(2)-3 x+2 ge 0 and x^(2)-3 x-4 le 0...

If `x^(2)-3 x+2 ge 0` and `x^(2)-3 x-4 le 0` then

A

`|x| le -2`

B

` x in [-1,1) uu[2,4]`

C

`x in[-1,1]`

D

` x in(2,4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If x^(2) + 2x - 3 ge 0 and x^(2) - 2x - 3 ge 0 , then :

If A={x:x^(2)-2x+2gt0}andB={x:x^(2)-4x+3le0} AnnB equals

If x - 1 is a factor of x^(5) - 4x^(3) +2 x^(2) - 3x + k = 0 then k is

Let x_(1), x_(2) be the roots of the equation x^(2)-3 x+p=0 and let x_(3), x_(4) be the roots of the equation x^(2)-12 x+q=0 . If the numbers x_(1), x_(2) x_(3), x_(4) (in order) form an increasing G.P. then,

If A={x:x^(2)-2x+2gt0}andB={x:x^(2)-4x+3le0} A - B equals

If A={x:x^(2)-2x+2gt0}andB={x:x^(2)-4x+3le0} AuuB equals

If cos x- sin x ge 1 and 0 le x le 2pi , then find the solution set for x .

If x_1, x_2 be the roots of the equation x^2 -3x+ A=0 and x_3,x_4 be those of the equation x^2-12x + B = 0 and x_1 , x_2, x_3, x_4 be an increasing GP. find find A and B.

If (|x - 2|)/(x - 2) ge 0, then

Area of the parallelogram formed by 2 x^(2)+5 x y+3 y^(2)=0 and 2 x^(2)+5 x y+3 y^(2)+3 x+4 y+1=0 is

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If x in R the expression (x^(2)+2 x-11)/(x-3) does not take value in

    Text Solution

    |

  2. The least value of (6 x^(2)-18 x+21)/(6 x^(2)-18 x+17) is

    Text Solution

    |

  3. If x^(2)-3 x+2 ge 0 and x^(2)-3 x-4 le 0 then

    Text Solution

    |

  4. If (x^(2)-|x|-2)/(2|x|-x^(2)-2) ge 2, then

    Text Solution

    |

  5. The function (x^(2)+2 x+c)/(x^(2)+4 x+3 c) assumes all real values onl...

    Text Solution

    |

  6. The least value of (x+2)/(2 x^(2)+3 x+6) is

    Text Solution

    |

  7. If a+b+c=0, then the equation 3ax^(2)+2bx+c=0 has :

    Text Solution

    |

  8. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

  9. Let a, b,c in R and a ne 0. If alpha is a root of a^(2) x^(2) + bx + c...

    Text Solution

    |

  10. If alpha and beta the roots of x^(2) + px + q = 0 and alpha^(4), beta...

    Text Solution

    |

  11. The set of values of p for which the roots of the equation 3 x^(2)+2 x...

    Text Solution

    |

  12. Let alpha and beta be the roots of the equation x^(2)+x+1=0 . The equa...

    Text Solution

    |

  13. If p,q,r are in A.P. and are positive, the roots of the quadratic equa...

    Text Solution

    |

  14. The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  15. In a triangle PQR, /R = pi//2, If tan(P//2). and tan(Q//2) are the roo...

    Text Solution

    |

  16. If the roots of the equation x^(2) - 2ax + a^(2) + a - 3 = 0 are real ...

    Text Solution

    |

  17. If b ge a, then the equation (x-a)(x-b)-1=0 has

    Text Solution

    |

  18. For the equation 3 x^(2)+p x+3=0, p gt 0, if one root is square of the...

    Text Solution

    |

  19. If x^(2)+(a-b) x+(1-a-b)=0, a, b in R has unequal roots for all values...

    Text Solution

    |

  20. If one root of the equation x^(2) + px + q = 0 is square of the other...

    Text Solution

    |