Home
Class 11
MATHS
The equation abs(x+1) abs(x-1)=a^2-2a-3 ...

The equation `abs(x+1) abs(x-1)=a^2-2a-3` can have real solutions for x if 'a' belongs to

A

`(-infty,-1)cup[3,infty)`

B

`[1-sqrt5,1+sqrt5]`

C

`[1-sqrt5,-1]cup[3,1+sqrt5]`

D

both (1) and (3)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

The equation ||x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval a) (-oo,-4) (b) (-oo,0) c) (4,oo) (d) none of these

The equation ||x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo,-4) (b) (-oo,0) (4,oo) (d) none of these

Solve the equation abs(x-abs(4-x))-2x=4

Solve : abs(x-1)+abs(x-2)=6

The trigonometric equation sin^-1x=2sin^-1 2a has a real solution if

Solve : abs(x+3) gt abs(2x-1)

The equation cos^8x+bcos^4x+1=0 will have a solution if b belongs to

Solution of abs(4x+3)+abs(3x-4)=12 are

The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

abs(x^2-3x-4)=9-abs(x^2-1)

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. Let f(x)=ax^2+bx+c,b,cinR,aphi0, satisfying f(1)+f(2) <brge0.then the ...

    Text Solution

    |

  2. The value of alpha, for which the equation x^2-(sinalpha-2)x-(1+sinalp...

    Text Solution

    |

  3. The equation abs(x+1) abs(x-1)=a^2-2a-3 can have real solutions for x ...

    Text Solution

    |

  4. Solution set of x satisfying x^2-abs(x+2)+xgt0 is

    Text Solution

    |

  5. Let a,b,c be the sides fo a triangle where anebnec and lamdainR,if roo...

    Text Solution

    |

  6. Let alpha,beta,gamma be the roots of f(x)=0, where f(x)=x^3+x^2-5x-1. ...

    Text Solution

    |

  7. The entire graphs of the equation y=x^2+kx-x+9 is strictly above the x...

    Text Solution

    |

  8. The largest interval for which x^12-x^9+x^4-x+1gt0 is

    Text Solution

    |

  9. The quadratic equations x^2-6x+a=0 and x^2-cx+6=0 have one root in com...

    Text Solution

    |

  10. If alpha and beta are the roots of the equation ax^2+bx+c=0 ,a ne 0,a,...

    Text Solution

    |

  11. Roots of the quadratic equation (x^2-4x+3)+lamda(x^2-6x+8)=0,lamdainR ...

    Text Solution

    |

  12. The number of real solution of the equation absx^2-4absx+3=0 is

    Text Solution

    |

  13. For what values of KinR the expression 2x^2+Kxy+3y^2-5y-2 can be expre...

    Text Solution

    |

  14. How many real solutions does the equation x^7+14x^5+16x^3+30x-560=0 h...

    Text Solution

    |

  15. Set of value of k(kinR) for which equation x^2-4abs(x)+3-abs(k-1)=0 wi...

    Text Solution

    |

  16. It is given that equation 4x^3-3x-p=0 has a unique root in the interva...

    Text Solution

    |

  17. If 3^(x+2)-9^(-1//x)gt0, then the interval of x can be

    Text Solution

    |

  18. The roots of the equation (a+sqrtb)^(x^2-15)+(a-sqrtb)^(x^2-15)=2a w...

    Text Solution

    |

  19. For what real value of 'a' do the roots of x^2-2x-(a^2-1)=0 lie betwee...

    Text Solution

    |

  20. The real solutions of the equation root(4)(97-x)+root(4)x=5

    Text Solution

    |