Home
Class 12
MATHS
If roots alpha, beta of the equation (x^...

If roots `alpha, beta` of the equation `(x^(2)-bx)/(ax-c)=(lambda-1)/(lambda+1)` are such that `alpha+ beta=0`, then the value of `lambda` is

A

`(a-b)/(a+b)`

B

`c`

C

`(1)/(c )`

D

`(1)/(ab)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If the roots of the quadratic equation ax^(2)+bx-b=0 , where a , b in R such that a*b gt 0 , are alpha and beta , then the value of log_(|(beta-1)|)|(alpha-1)| is

If the equation x ^2+2(lambda+1)x+lambda^2+lambda+7=0 has only negative roots, then the least value of lambda equals__________.

If the equation ax^2 + bx + c = 0 ( a gt 0) has two roots alpha and beta such that alpha 2 , then

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q (a)(alpha)/(beta)+(beta)/(alpha)

If alpha, beta are the roots of the equation (x-a)(x-b)=5 then the roots of the equation (x- alpha)(x-beta)+5=0 are

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q(b) (1)/(alpha)+(1)/(beta)

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then (alpha+beta)^(2) is …………..

If alpha" and "beta are the solutions of the quadratic equation ax^(2)+bx+c=0 such that beta= alpha^(1/3) , then

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If alpha" and "beta, alpha" and "gamma" and "alpha" and "delta are the...

    Text Solution

    |

  2. The solution set of the equation pqx^(2)-(p+q)^(2)x+(p+q)^(2)=0 is

    Text Solution

    |

  3. If roots alpha, beta of the equation (x^(2)-bx)/(ax-c)=(lambda-1)/(lam...

    Text Solution

    |

  4. Let a= e^(i(2pi)/(3)). Then the equation whose roots are a+a^(-2)" and...

    Text Solution

    |

  5. If alpha(1), alpha(2), alpha(3), alpha(4) are the roots of the equatio...

    Text Solution

    |

  6. The roots of the eqaution (q-r)x^(2)+(r-p)x+(p-q)=0 are

    Text Solution

    |

  7. Let omega be a imaginary root of x^(n)=1. Then (5- omega)(5- omega^2)"...

    Text Solution

    |

  8. If isqrt(-1), then 4+5(-(1)/(2)+(isqrt(3))/(2))^(334)+3(-(1)/(2)+(isqr...

    Text Solution

    |

  9. If z is a complex number such that Re(z)=Im(z), then

    Text Solution

    |

  10. If alpha" and "beta are the roots of the equation x^(2)-7x+1=0, then t...

    Text Solution

    |

  11. If alpha " and "beta are different complex numbers with |beta|=1, then...

    Text Solution

    |

  12. If omega is a complex cube root of unity, then the value of sin{(omega...

    Text Solution

    |

  13. Let z=(11-3i)/(1+i). If alpha is a real number such z-ialpha is real, ...

    Text Solution

    |

  14. Let z(1)" and "z(2) be the roots of the equation z^(2)+pz+q=0, where p...

    Text Solution

    |

  15. If alpha, beta, gamma are the cube roots of a negative number p, then ...

    Text Solution

    |

  16. The magnitude and amplitude of ((1+isqrt(3))(2+2i))/((sqrt(3)-i)) are ...

    Text Solution

    |

  17. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^n))^(2) is equal ...

    Text Solution

    |

  18. If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then (a...

    Text Solution

    |

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

    Text Solution

    |

  20. Given tan A and tan B are the roots of x^(2)-ax+b=0. The value of sin^...

    Text Solution

    |