Home
Class 12
MATHS
solving the following equations : (i) ...

solving the following equations :
(i) `|x-3| = x-1`
(ii) `|x^(2)-3x|=2x-6`
(iii) `|x-4|+|x-7| = 11`

Text Solution

Verified by Experts

The correct Answer is:
(i) `x = 2`
(ii) `x = 3`
(iii) `x= 0, 11`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2)-4|+|x^(2)-9|=0 (iii) |x-1|+|x+5| = 6

Solve the following equations : (3x+2)/(x-6)=-7

Solve the following equations: 2x-2=3x+7

Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)/(x-1) = 1/(x-1)

Solve the following equations: (i) 2^(x-5)=256 (ii) 2^(x+3)=4^(x-1)

Solve the following equations : (x-1)(x+6)-(x-2)(x-3)=3

Solve for x in the following equations : (3x-7)/(2)+20=6

Solve the following equations : (i) 2x^(2)-(3+7i)x-3+9i=0 (ii) (2+i)x^(2)-(5-i)x+2(1-i)=0

Solve the following : (i) |x-2|=(x-2) " (ii) " |x+3| = -x-3 (iii) |x^(2)-x|=x^(2)-x " (iv) " |x^(2)-x-2| =2+x-x^(2)

RESONANCE ENGLISH-DPP-QUESTION
  1. Solve : |x| - |x-2| ge 1

    Text Solution

    |

  2. Draw graph of the following expression. Also find extremum value if it...

    Text Solution

    |

  3. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  4. If (1)/(|a|)gt 1/b, then |a| le b, where a & b are non-zero real numbe...

    Text Solution

    |

  5. Solve the folowing equations |x|+2|x-6|=12

    Text Solution

    |

  6. ||x+3|-5|=2

    Text Solution

    |

  7. |||x-2|-2|-2|=2

    Text Solution

    |

  8. If sum(n=1)^(2013)tan(theta/(2^(n)))sec((theta)/(2^(n-1))) = tan((thet...

    Text Solution

    |

  9. The minimum value of the expression |x-p|+|x-15|+|x-p-15| for ' x ' in...

    Text Solution

    |

  10. If the graph of the function y = f(x) is as shown : The graph of ...

    Text Solution

    |

  11. If A, B, C, D be the angles of a quadrilateral, prove that : (tanA+tan...

    Text Solution

    |

  12. If the sum of n term of the series (5)/(1.2.3) + (6)/(2.3.4) + ( 7)/(3...

    Text Solution

    |

  13. If the 8th term of an A.P. is 31 and the 15th term is 16 more than ...

    Text Solution

    |

  14. The coefficient of the quadratic equation a x^2+(a+d)x+(a+2d)=0 are co...

    Text Solution

    |

  15. Let f(r) = sum(j=2)^(2008) (1)/(j^(r)) = (1)/(2^(r))+(1)/(3^(r))+"…."+...

    Text Solution

    |

  16. If sinalphacosbeta=-1/2 then find the range of values of cosalphasinbe...

    Text Solution

    |

  17. -cos(A+B)cos(B-A) =

    Text Solution

    |

  18. Number of roots of (x^(2)+5x+7)(-x^(2)+3x-4) = 0

    Text Solution

    |

  19. If the roots of Quadratic i^(2)x^(2)+5ix-6 are a+ib and c +id (a,b,c,d...

    Text Solution

    |

  20. S(10) = cos'(pi)/(180) + cos'(3pi)/(180) + "….." cos '(19pi)/(180)

    Text Solution

    |