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`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 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 : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)/(x-1) = 1/(x-1)

Solve the following linear equations (i) |x| + 2 = 3 (ii) |x| - 2x + 5 = 0 (iii) x|x| = 4

Solve the following equations: |x^(3)-6x^(2)+11x-6|=6

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

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)

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

Solve the following simultaneous equations : (i) x+y=7, x-y=5 (ii) x+y=10, x-y=16. (iii) 3x+y=14, x-y=2.

Solve the following equations (i) sgn({[x]})=0 (ii) sgn(x^(2)-2x-8)=-1 (iii)sgn((x^(2)-5x+4)/({x}))=-1

Solve the following equations for x:7^(x+3)=1 (ii) 2^(x+1)=4^(x-3)2^(5x+3)=8^(x+3)

RESONANCE DPP-JEE MAINS-All Questions
  1. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  2. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of four-digit numbers that can be made with the digits 1...

    Text Solution

    |

  5. The third term of a G.P. is the square of the first term. If the secon...

    Text Solution

    |

  6. Urn A contains 2 white, 1 black and 3 red balls, urn B contains 3 w...

    Text Solution

    |

  7. alpha,beta,gammaa n ddelta are the smallest positive angle in ascendin...

    Text Solution

    |

  8. For the 3 events A, B and C, P (atleast one occurring) = 3/4, P(atleas...

    Text Solution

    |

  9. The sum of three numbers in A.P. is 27, and their product is 504, find...

    Text Solution

    |

  10. Find the sum of all those integers between 100 and 800 each of which o...

    Text Solution

    |

  11. Simplify: x/(x-y)-y/(x+y)-(2x y)/(x^2-y^2)

    Text Solution

    |

  12. There are two die A and B both having six faces. Die A has three faces...

    Text Solution

    |

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

    Text Solution

    |

  14. A line with directional cosines prontional to 2, 1,2 meets each of the...

    Text Solution

    |

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

    Text Solution

    |

  16. the lines (x-2)/1 = (y-3)/1 = (z-4)/-k and (x-1)/k = (y-4)/1 = (z-5)/1...

    Text Solution

    |

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

    Text Solution

    |

  18. If A(-4,0,3)a n dB(14 ,2,-5), then which one of the following points l...

    Text Solution

    |

  19. In the following, [x] denotes the greatest integer less than or equal ...

    Text Solution

    |

  20. A straight line L cuts the lines A B ,A Ca n dA D of a parallelogram A...

    Text Solution

    |