Home
Class 12
MATHS
Make the following expressions free from...

Make the following expressions free from modulus sign :
(i) `|x^(2) -3x-4|` , (ii) `|x^(2)-7x+10|` if `x lt 5`

Text Solution

Verified by Experts

The correct Answer is:
(i) `{{:(-(x^(2)-3x-4)" ""if"" "x in (-1,4)),(x^(2)-3x-4" "if"" "x in (-oo,-1]uu[4,oo)):}`
\(ii) `{{:((x^(2)-7x+10)" "if" "xle2),(-(x^(2)-7x+10)" "if" "2ltxlt5):}`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Make the following expressions free from modulus sign: (x in R) |x^3+8|

Make the following expressions free from modulus sign: (x in R) |2x-x^2-3|

Make the following expressions free from modulus sign: (x in R) |x^2-2x+3|

Make the following expressions free from modulus sign: (x in R) |2x-x^2+3|

Makes the following expressions free from modulus sign: (x in R)|x^(2)-7x+10| if x<5

Make the following expressions free from modulus sign: (x in R) |x+3|+|x|+|x-1|

make the following expression free from modulus: |x^(2)-3x-4|

Make the following expressions free from modulus sign: (x in R) |x+1|ifx >-1/2

Make the following expressions free from modulus sign : (x in R) (i) |x+2|+|x-2| if x^(2) le 2 , (ii) |x^(3)+8| , (iii) |x+3|+|x|+|x-1|

Which of the following expressions are polynomials and which are not? 7x^(3)-3x^(2)+5sqrt(x)-11

RESONANCE-DPP-QUESTION
  1. log(2)|x| lt 3

    Text Solution

    |

  2. |log(3) x| lt 2

    Text Solution

    |

  3. Make the following expressions free from modulus sign : (i) |x^(2) -...

    Text Solution

    |

  4. Consider the equation p = 5-2q - 3 Greatest sat of all possible valu...

    Text Solution

    |

  5. Consider the equation p = 5-2q - 3 If p = 4 then possible values of ...

    Text Solution

    |

  6. Consider the equation p = 5-2q - 3 If p = |r| + 5, then number of po...

    Text Solution

    |

  7. Total number of values of ' x ' satisfying the equation, 2^(cos2x)=3. ...

    Text Solution

    |

  8. If P=cospi/(20)dotcos(3pi)/(20)dotcos(7pi)/(20)dotcos(9pi)/(20)&Q=cosp...

    Text Solution

    |

  9. tan^2 (pi/16) + tan^2 ((2pi)/16) + tan^2((3pi)/16).........+tan^2((7pi...

    Text Solution

    |

  10. Consider Sn=1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+,,, upto n terms t...

    Text Solution

    |

  11. If y = x^(3) - 3x+2, then draw the graph of the followings

    Text Solution

    |

  12. The sum sum(m)^(i=0) ({:(10),(i):})({:(20),(m-i):}), (where ({:(p),(q)...

    Text Solution

    |

  13. Co-efficient of alpha^t in thet expansion of (alpha+p)^(m-1)+(alpha+...

    Text Solution

    |

  14. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

    Text Solution

    |

  15. The term independent of x in the expansion of (x-1/x)^4(x+1/x)^3...

    Text Solution

    |

  16. The co-efficient of x x^(n-2) in (x-1)(x-2)(x-3)(x-n) is :

    Text Solution

    |

  17. If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 s...

    Text Solution

    |

  18. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

    Text Solution

    |

  19. If x^(2)+x=1-y^(2) , where x gt 0, y gt 0, then find the maximum value...

    Text Solution

    |

  20. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 The least value of x s...

    Text Solution

    |