Home
Class 12
MATHS
If alpha, beta are the roots fo the equa...

If `alpha, beta` are the roots fo the equation `lamda(x^(2)-x)+x+55=0`. If `lamda_(1)` and `lamda_(2)` are two values of `lamda` for which the roots `alpha, beta` are related by `(alpha)/(beta)+(beta)/(alpha)=4/5` find the value of `(lamda_(1))/(lamda_(2))+(lamda_(2))/(lamda_(1))`

Text Solution

Verified by Experts

The correct Answer is:
254
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (MCQ)|9 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

If lamda_(1) and lamda_(2) are the two valyes of lamda such that the alpha and beta of quadratic equation lamda(x^(2)-x)+x-5=0 satisfy (alpha)/(beta)+(beta)/(alpha)+(4)/(5)=0 then (lamda_(1))/(lamda_(2)^(2))+(lamda_(2))/(lamda_(1)^(2)) is equal to

Let alpha, beta be two real roots of the equation cot ^ 2 x - 2 lamda cot x + 3 = 0 , lamda in R . If cot ( alpha + beta ) = (1)/(2) , then value of lamda is :

The equation cos ^(2) x - sin x+lamda = 0, x in (0, pi//2) has roots then value(s) of lamda can be equal to :

If alpha, beta be the roots of the quadratic equation 3x^(2)-6x+4=0 , find the value of ((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3alpha beta :

If lamda_(1) and lamda_(2) are the wavelengths of the first members of the Lyman and Paschen series respectively, then lamda_(1):lamda_(2) is

Let lamdane 0 be in R. If alpha and beta are the roots of the equation x^(2) - x + 2lamda = 0 , and alpha and gamma are the roots of the equation 3x^2 - 10x + 27lamda = 0 , then (betagamma)/lamda is equal to __________

MOTION-QUADRATIC EQUATION-EXERCISE -3 (SUBJECTIVE)
  1. If alpha!= beta but alpha^2 = 5alpha-3, beta^2 = 5beta - 3, then find ...

    Text Solution

    |

  2. If one root of equation (l-m) x^2 + lx + 1 = 0 be double of the other ...

    Text Solution

    |

  3. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

    Text Solution

    |

  4. If one root of the equation ax^2+bx+c=0 is the square of the other, pr...

    Text Solution

    |

  5. Show that the roots of the equation (a^(2)-bc)x^(2)+2(b^(2)-ac)x+c^(2)...

    Text Solution

    |

  6. If a x^2+b x+c=0a n db x^2+c x+a=0 have a common root and a, b, and c ...

    Text Solution

    |

  7. lf the quadratic equations x^2+bx+c=0 and bx^2+cx+1=0 have a common r...

    Text Solution

    |

  8. If the quadratic equations x^2+bx+ca=0 & x^2+cx+ab=0 (where a!= 0) ha...

    Text Solution

    |

  9. Solve the equation x^4 + 4x^3 + 5x^2 + 2x-2=0, one root being -1+sqrt...

    Text Solution

    |

  10. If alpha, beta, gamma are the roots of the equation x^3 + px^2 + qx + ...

    Text Solution

    |

  11. If alpha,betaa n dgamma are roots of 2x 63+x^3-7=0 , then find the val...

    Text Solution

    |

  12. Let alpha+ibeta,alpha, beta epsilon R, be a root of the equation x^(3)...

    Text Solution

    |

  13. Let alpha,beta,gamma are the roots of the cubic x^3-3x^2+1=0 .Find a c...

    Text Solution

    |

  14. Two roots of a biquadratic x^4-18x^3+ kx^2+ 200x-1984=0 have their pro...

    Text Solution

    |

  15. Suppose a cubic polynomial f(x) = x^3 + px^2 + qx + 72 is divisible by...

    Text Solution

    |

  16. If g(x)=x^(3)+px^(2)+qx+r where p,q,r are integers. If g(0) and g(-1)...

    Text Solution

    |

  17. If x be real then find the range of the following rational expressions...

    Text Solution

    |

  18. Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

    Text Solution

    |

  19. Find the range of values of a, such that f(x)=(ax^2+2(a+1)x+9a+4)/(x^2...

    Text Solution

    |

  20. The least value of the quadratic polynomial, f(x) = (2p^(2) + 1) x^(2)...

    Text Solution

    |