Home
Class 12
MATHS
Let alpha and beta be the roots of equat...

Let `alpha and beta` be the roots of equation `px^2 + qx + r = 0 , p != 0`.If `p,q,r` are in A.P. and `1/alpha+1/beta=4`, then the value of `|alpha-beta|` is :

A

`(1)/(9) sqrt(61)`

B

`(2)/(9)sqrt(17)`

C

`(1)/( sqrt(34)`

D

`(2)/(9)sqrt(13)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

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

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 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

Let alpha and beta be the roots of equation px^(2)+qx+r=0,p!=0. If p,q,r are in A.P. and (1)/(alpha)+(1)/(beta)=4, then the value of | alpha-beta| is

Let alpha and beta be the roots of equation px^(2)+qx+r=0,p!=0 .If p, q ,r are in A.P. and ((1)/(alpha)+(1)/(beta))= 4 , then the value of | alpha -beta|

Let alpha and beta be the roots of equation px^(2)+qx+r=0,p!=0. If p,q,r are in A.P and (1)/(alpha)+(1)/(beta)=4 then the value of | alpha-beta| is (a) (sqrt(34))/(9) (b) (2sqrt(13))/(9) (c) (sqrt(16))/(9) (d) (2sqrt(17))/(9)

Let alpha and beta are roots of the equation px^2+qx-r=0 where pne0 . If p, q, r are the consecutive term of non-constant G.P and 1/alpha+1/beta=3/4 , then value of (alpha-beta)^2 is:

If alpha and beta are the real roots of the equation x^(3)-px-4=0, p in R such that 2 alpha+beta=0 then the value of (2 alpha^(3)+beta^(3)) equals

If the roots of the equation px ^(2) +qx + r=0, where 2p , q, 2r are in G.P, are of the form alpha ^(2), 4 alpha-4. Then the value of 2p + 4q+7r is :

If alpha and beta are are the real roots of the equation x^(3)-px-4=0,p in R such that 2alpha+beta=0 then the value of (2alpha^(3)+beta^(3)) equals

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from Previous Years. AIEEE/JEE main papers
  1. The value of 'k' for which one root of the equation x^2 - (k+1) x + k^...

    Text Solution

    |

  2. The least integral value alpha of x such that (x-5)/(x^2+5x -14) >0, ...

    Text Solution

    |

  3. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  4. If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a co...

    Text Solution

    |

  5. The sum of the roots of the equation x^(2) + |2x - 3| + 4 = 0, is

    Text Solution

    |

  6. If alpha and beta are roots of the equation x^2-4sqrt2kx + 2e^(4 Ink)-...

    Text Solution

    |

  7. The number of solutions of sqrt(3x^(2)+x+5)=x-3 is

    Text Solution

    |

  8. Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...

    Text Solution

    |

  9. If 2+3i is one of the roots of the equation 2x^3-9x^2 + kx-13 = 0, k e...

    Text Solution

    |

  10. If the two roots (a-1)(x^4+x^2+1)+(a+1)(x^2+x+1)^2=0 are real and dist...

    Text Solution

    |

  11. The sum of all real values of X satisfying the equation (x^2-5x+5)^(x^...

    Text Solution

    |

  12. If the equations x^2+bx-1=0 and x^2+x+b=0 have a common root different...

    Text Solution

    |

  13. If x is a solution of the equation sqrt(2x+1)-sqrt(2x-1)=1 (x >=1/2...

    Text Solution

    |

  14. Let x, y, z be positive real numbers such that x + y + z = 12 and x^3y...

    Text Solution

    |

  15. If, for a positive integer n , the quadratic equation, x(x+1)+(x-1)(x+...

    Text Solution

    |

  16. Let p(x) be a quadratic polynomial suchthat p(0) = 1. If p(x) leaves...

    Text Solution

    |

  17. The sum of all the real values of x satisfying the equation 2^((x-1)(x...

    Text Solution

    |

  18. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  19. v22

    Text Solution

    |

  20. Let p,q and r be real number (p ne q, r ne 0) such that the roots of ...

    Text Solution

    |