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. Tangent at a point P1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 me...

    Text Solution

    |

  2. int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx= e^xdotsqrt((1-x)/(1+x))+c (b) ...

    Text Solution

    |

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

    Text Solution

    |

  4. Let f(x)=intx^2(2x+6tanx-2xtan^2x) cos^2xdxa n df(x) passes through th...

    Text Solution

    |

  5. In a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  6. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

    Text Solution

    |

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

    Text Solution

    |

  8. If the function f(x)=(4,sin ^2 x-1)^n(x^2-x+1)n in N has a local maxim...

    Text Solution

    |

  9. The value of ("lim")(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

    Text Solution

    |

  10. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

    Text Solution

    |

  11. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

    Text Solution

    |

  12. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

    Text Solution

    |

  13. The value of c in Rolles theorem for the function f(x)=(x(x+1))/(e^...

    Text Solution

    |

  14. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |

  15. a,b,c are positive real numbers such that loga(b-c)=logb/(c-a)=logc/(a...

    Text Solution

    |

  16. The system of equations 'alpha' x+y+z=1,x+2y+4z=alpha and x+4y+10 z=...

    Text Solution

    |

  17. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

    Text Solution

    |

  18. Let f(x) be a function such that f''(x) = f'(x) + e^x and f'(0) =1 ,f(...

    Text Solution

    |

  19. If |x^2-5x+3 2x-5 3 3x^2+x+4 6x+1 9 7x^2-6x+9 14 x-6 21| =a x^3+b x^...

    Text Solution

    |

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

    Text Solution

    |