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

Let `alpha` and `beta` be roots of the equation `X^(2)-2x+A=0` and let `gamma` and `delta` be the roots of the equation `X^(2)-18x+B=0`. If `alpha lt beta lt gamma lt delta` are in arithmetic progression then find the valus of A and B.

A

(-3,77)

B

(77,-3)

C

(-3,-77)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

alpha and beta are the roots of the equation x^(2)-3x+a=0 and gamma and delta are the roots of the equation x^(2)-12x+b=0 .If alpha,beta,gamma, and delta form an increasing GP., then (a,b)-

Given that alpha , gamma are roots of the equation Ax^(2)-4x+1=0 and beta , delta are roots of the equation Bx^(2)-6x+1=0 . If alpha , beta , gamma and delta are in H.P. , then

Let alpha,beta and gamma be the roots of the equation x^(3)+6x^(2)-px-42=0 . If alpha, beta and gamma are in arithmetic progression then |alpha|+|beta|+|gamma|=

If alpha, beta are the roots of the equation x^(2)-2x-a^(2)+1=0 and gamma, delta are the roots of the equation x^(2)-2(a+1)x+a(a-1)=0 such that alpha, beta epsilonn (gamma, delta) find the value of a .

alpha,beta are the roots of the equation x^(2)-4x+lambda=0, and gamma,delta are the roots of the equation x^(2)-64x+mu=0. If alpha,beta,gamma,delta form an increasing G.P,find the values of alpha,beta,gamma,delta

Let alpha, beta and gamma are the roots of the equation 2x^(2)+9x^(2)-27x-54=0 . If alpha, beta, gamma are in geometric progression, then the value of |alpha|+|beta|+|gamma|=

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Level 1 ( Single Correct Answer Type Questions)
  1. sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

    Text Solution

    |

  5. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

    Text Solution

    |

  6. For the equation 3x^2+p x+3=0,p >0, if one of the root is square of th...

    Text Solution

    |

  7. If alpha, beta are the roots of equation ax^2 + bx+c=0, then what are ...

    Text Solution

    |

  8. If b gt a, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |

  9. Let alpha , beta be the roots of x^2 - x +p=0 and gamma , ...

    Text Solution

    |

  10. I a, b and c are not all equal and alpha and beta be the roots of the ...

    Text Solution

    |

  11. If a,b,c are in A.P. and if the equations (b - c) x^(2) + (c - a) x +...

    Text Solution

    |

  12. Evaluate x=sqrt(6+sqrt(6+sqrt(6+oodot)))

    Text Solution

    |

  13. Two complex numbers alpha and beta are such that alpha + ...

    Text Solution

    |

  14. If alpha!= beta but alpha^2 = 5alpha-3, beta^2 = 5beta - 3, then find ...

    Text Solution

    |

  15. If a!=b and differences between the roots of the equations x^2+ab+b=0 ...

    Text Solution

    |

  16. Product of real roots of the equation t^2x^2+|x|+9=0 a. is always +ve...

    Text Solution

    |

  17. If f(x) = (x^2 -2x + 4)/(x^2+2x+4), x in R then range of function is

    Text Solution

    |

  18. The value of 'k' for which one root of the equation x^2 - (k+1) x + k^...

    Text Solution

    |

  19. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

    Text Solution

    |

  20. Suppose a is an integer and x(1) and x(2) are positive real roots of ...

    Text Solution

    |