Home
Class 12
MATHS
If every pair from among the equations ...

If every pair from among the equations `x^2+px+qr=0,x^2+qx+rp=0` and `x^2+rx+pq=0` has a common root, then the sum of the three common roots is

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RESONANCE DPP|Exercise All Questions|4 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    RESONANCE DPP|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If every pair from among the equations x^(2)+px+qr=0,x^(2)+qx+rp=0 and x^(2)+rx+pq=0 has a common root then the product of three common root is

If every pair from among the equations x^(2)+px+qr=0,x^(2)+qx+rp=0 and x^(2)+rx+pq=0 has a common root then the product of three common root is

If every pair from among the equations x^(2)+px+qr=0,x^(2)+qx+rp=0 and x^(2)+rx+pq=0 has a common root then the product of three common root is (A) pqr (B) 2 pqr (C) p^(2)q^(2)r^(2)(D) none of these

If every pair from among the equations x^(2)+px+qr=0,x^(2)+qx+rp=0 and x^(2)+rx+pq=0 has a common root then the product of three common root is (A) pqr (B) 2 pqr (C) (p^(2)q^(2)r^(2)) (D)one of these

If every pair from among the equations x^(2)+px+qr=0,x^(2)+qx+rp=0 and x^(2)+rx+pq has a common root then the product of three common root is (A) pqr (B) 2 pqr (C) p^(2)q^(2)r^(2)(D) none of these

If each pair of the following equations x^2+px+qr=0, x^2+qx+pr=0 and x^2+rx+pq=0 has common root, then the product of the three common roots is (A) 2pqr (B) pqr (C) -pqr (D) none of these

If x^(2)+4ax+3=0 and 2x^(2)+3ax-9=0 have a common root,then the value of a,the common root are

RESONANCE DPP-BOARD PAPER SOLUTIONS-All Questions
  1. the quadratic equation x^2-9x+3=0 has roots alpha and beta. If x^2-bx-...

    Text Solution

    |

  2. If product of the roots of the equation 3x^2-4x+(loga^2-log(-a)+3)=0 i...

    Text Solution

    |

  3. If every pair from among the equations x^2+px+qr=0,x^2+qx+rp=0 and x...

    Text Solution

    |

  4. The roots alphaa n dbeta of the quadratic equation a x^2+b x+c=0 are r...

    Text Solution

    |

  5. x^2-2x+2=0"( 2)"x^2-3x+3=0x^2-3x+4=0"( 4)"x^2-5x+5=0 A quadratic equat...

    Text Solution

    |

  6. If the equation sin^4x-(k+2)sin^2x=(k+3) has a solution then ' k ' mus...

    Text Solution

    |

  7. Simplify: 5^(1/((log)7log))+1/(sqrt(-(log)(10)(0. 1)))3

    Text Solution

    |

  8. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polyno...

    Text Solution

    |

  9. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polyno...

    Text Solution

    |

  10. Let cos(alpha+beta)=4/5 and let sin(alpha-beta)=5/(13),w h e r e0lt=al...

    Text Solution

    |

  11. Number of solutions of the equation t a n x+s e c x=2cos x lying in th...

    Text Solution

    |

  12. cosalpha is a root of the equation 25 x^2+5x-12=0,-1lt x lt 0, then th...

    Text Solution

    |

  13. In a triangle A B C , right angled at C ,t a n A+t a n B is equal to a...

    Text Solution

    |

  14. Cosider the equation |x^2-2x-3|=m , m in R If the given equation has f...

    Text Solution

    |

  15. If the given equation: |x^2-2x-3|=m has two solutions, then a.m in [4...

    Text Solution

    |

  16. If the given equation: |x^2-2x-3|=m has three solutions, then a. m i...

    Text Solution

    |

  17. A class contains 4 boys and g girls. Every Sunday five students, inclu...

    Text Solution

    |

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

    Text Solution

    |

  19. Draw graph of y=|3x-5|

    Text Solution

    |

  20. The number of integral value(s) of x satisfying the equation |x^4 .3^...

    Text Solution

    |