Home
Class 12
MATHS
If a,b are roots of the equation x^2 + q...

If `a,b` are roots of the equation `x^2 + qx + 1 = 0` and `c,d `are roots of `x^2 + px + 1 = 0,` then the value of `(a-c) (b-c)(a+d) (b+d)` will be

A

`p^(2) - q^(2)`

B

`q^(2) - p^(2)`

C

`q^(2) + p^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer Type Questions)|18 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

If a,b are roots of the equation x^(2)+qx+1=0 and c, dare roots of x^(2)+px+1=0, then the value of (a-c)(b-c)(a+d)(b+d) will be

If a, b are the real roots of x^(2) + px + 1 = 0 and c, d are the real roots of x^(2) + qx + 1 = 0 , then (a-c)(b-c)(a+d)(b+d) is divisible by

If c and d are roots of the equation (x-a) (x-b) - k = 0, then a, b are roots of the equation

If a,b are the roots of quadratic equation x^(2)+px+q=0 and g,d are the roots of x^(2)+px-r-0, then (a-g)*(a-d) is equal to:

The roots of the equation x^(2)+px+q=0 are 1 and 2 .The roots of the equation qx^(2)-px+1=0 will be

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Level 1 ( Single Correct Answer Type Questions)
  1. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo)...

    Text Solution

    |

  2. If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...

    Text Solution

    |

  3. If a,b are roots of the equation x^2 + qx + 1 = 0 and c,d are roots of...

    Text Solution

    |

  4. Solve for x: 4^(x) - 3^(x-1/2)=3^(x+1/2)-2^(2x-1).

    Text Solution

    |

  5. If x^2+2ax+10-3a gt0 for all x in R then

    Text Solution

    |

  6. The number of solutions of sqrt(x +1) - sqrt(x - 1) = 1" " (x in ...

    Text Solution

    |

  7. If a, b, c are real and a!=b, then the roots ofthe equation, 2(a-b)x^2...

    Text Solution

    |

  8. Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^...

    Text Solution

    |

  9. both roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are

    Text Solution

    |

  10. If the roots of the equation (4a - a^(2) - 5) x^(2)- (2a - 1) x + 3a =...

    Text Solution

    |

  11. Let alpha,beta be the roots of the equation ax^2+bx+c=0. A root of the...

    Text Solution

    |

  12. If P(x)=ax^2+bx+c, Q(x)=-ax^2+dx+c where ac!=0 then P(x).Q(x)=0 has

    Text Solution

    |

  13. If the product of the roots of the equation x^(2) - 5 kx + 2e^(4"Ink")...

    Text Solution

    |

  14. alpha,beta be the roots of the equation x^2-px+r=0 and alpha/2 , 2beta...

    Text Solution

    |

  15. Sum of all the values of x satisfying the equation log(17) log(11) (...

    Text Solution

    |

  16. If 1/ sqrt(alpha) and 1/sqrt(beta) are the roots of equation a x^2 + ...

    Text Solution

    |

  17. If p and q are the roots of x^2 + px + q = 0, then find p.

    Text Solution

    |

  18. sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

    Text Solution

    |

  19. The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

    Text Solution

    |

  20. Let alpha and beta be roots of the equation X^(2)-2x+A=0 and let gamma...

    Text Solution

    |