Home
Class 11
PHYSICS
The equations x^2 +5x^2 +px +q=0 and x^3...

The equations` x^2 +5x^2 +px +q=0 `and x^3+ 7xa+ px+ r =0`have two roots in common. If the third root of each equation is xt and xa respectively then the ordered pair (x1, x2) is

A

2

B

44228

C

`sqrt2`

D

`1/sqrt2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • System of particles & rotational Motion

    SL ARORA|Exercise EXERCISE|353 Videos

  • ROTATIONAL MOTION

    SL ARORA|Exercise Problem for self practice|90 Videos

  • Thermal Properties of Matter

    SL ARORA|Exercise Exercise|449 Videos

Similar Questions

Explore conceptually related problems

Equations x^(3)+5x^(2)+px+q=0andx^(3)+7x^(2)+px+r=0 have two roots in common.If the third root of each equation is x_(1) and x_(2), respectively,then find the ordered pair (x_(1),x_(2)) .

The equation x^(3)+3x^(2)+px+q=0 and x^(3)+5x^(2)+px+r=0 have two roots common.If the third root of each equation represented by alpha and beta respectively then find the ordered pair (alpha,beta)

Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two toots in common and the third root of each equation are represented by alphaand beta respectively, find the value of |alpha+beta|

IF the equations x^(3) + 5x^(2) + px + q = 0 and x^(3) + 7x^(2) + px + r = 0 have two roots in common, then the product of two non-common roots of two equations, is

x^(3)+5x^(2)+px+q=0 and x^(3)+7x^(2)+px+r=0 have two roots in common.If their third roots are gamma_(1) and gamma_(2) respectively,then | gamma_(1)+gamma_(2)|=

x^(3)+5x^(2)+px+q=0 and x^(3)+7x^(2)+px+r=0 have two roos in common. If their third roots are gamma_(1) and gamma_(2) , respectively, then |gamma_(1)-gamma_(2)|=

If the equations x^(3)+x^(2)-4x=4 and x^(2)+px+2p=0(p in R) have two roots common,then the value of p is

If -3+5i is a root of the equation x^(2)+px+q=0 then the ordered pair (p,q)is (p,qinR)

SL ARORA-System of particles & rotational Motion-EXERCISE
  1. Satement-1: if there is no external torque on a body about its centre ...

    Text Solution

    |

  2. Satement-1: two cylinder one hollow (metal) and the other side (wood) ...

    Text Solution

    |

  3. The equations x^2 +5x^2 +px +q=0 and x^3+ 7xa+ px+ r =0have two roots ...

    Text Solution

    |

  4. Two discs A and B are mounted coaxiallay on a vertical axle. The discs...

    Text Solution

    |

  5. Two discs A and B are mounted coaxially on a vertical axle. The discs ...

    Text Solution

    |

  6. A uniform thin cylindrical disk of mass M and radius R is attaached to...

    Text Solution

    |

  7. A uniform thin cylindrical disk of mass M and radius R is attaached to...

    Text Solution

    |

  8. The general motion of a rigid body can be considered to be a combinati...

    Text Solution

    |

  9. The general motion of a rigid body can be considered to be a combinati...

    Text Solution

    |

  10. Two blocks A and B, each of mass m, are connected by a spring of force...

    Text Solution

    |

  11. A frame of reference that is accelerated with respect to an inertial f...

    Text Solution

    |

  12. One twirls a circular ring (of mass and radius ) near the tip of one’s...

    Text Solution

    |

  13. A ring of mass 1kg and radius 1m is moving with a velocity of 1m//s by...

    Text Solution

    |

  14. Four solid sphereas each of diameter sqrt(5) cm and mass 0.5 kg are pl...

    Text Solution

    |

  15. A binary star consists of two stars A(mass 2.2 Ms) and B (mass 11 Ms)...

    Text Solution

    |

  16. A uniform circular disc of mass 50kg and radius 0.4 m is rotating wi...

    Text Solution

    |

  17. A lamina is made by removing a small disc of diameter 2R from a bigg...

    Text Solution

    |

  18. A horizontal circular platform of radius 0.5 m and mass axis. Two mass...

    Text Solution

    |

  19. The densitis of two solid spheres A and B of the same radii R very wit...

    Text Solution

    |

  20. In the List-I below, four different paths of a particle are given as f...

    Text Solution

    |