Home
Class 12
MATHS
If alpha ne beta" but "alpha^(2)=5 alpha...

If `alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3` then the equation whose roots are `(alpha)/(beta)" and "(beta)/(alpha)` is

A

`3x^(2)-25x+3=0`

B

`x^(2)+5x-3=0`

C

`x^(2)-5x+3=0`

D

`3x^(2)-19x+3=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The quadratic equation whose roots are alpha and beta is

If alpha and beta are the roots of 2x^2-5x+3=0 form the equation whose roots are alpha^2 and beta^2

If alpha and beta are the roots of 2x^2-5x+3=0 form the equation whose roots are alpha+beta and 1/alpha+1/beta

Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation whose roots are - (alpha+1//beta)and-(beta+1//alpha) .

If alpha and beta are the roots of 3x^2+7x-5=0 form the equations whose roots are alpha-1 and beta-1 .

If alpha and beta are the roots of the equation x^2 + 2x +8=0 then the value of (alpha)/(beta) + (beta)/(alpha) is ………………….. .

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are alpha^(22)" and "beta^(19) , is

If alpha and beta are the roots of the equation 3x^(2) - 4x+1=0 form a quadratic equation whose roots are (alpha^2)/(beta) and beta^(2)alpha .

The roots of the equation x^(2)+6x-4=0 are alpha, beta . Find the quadratic equation whose roots area (alpha^(2)beta) and beta^(2)alpha

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If |z-4| lt |z-2|, its solution is given by

    Text Solution

    |

  2. The locus of the centre of a circle which touches the circle |z-z(1)|=...

    Text Solution

    |

  3. If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 th...

    Text Solution

    |

  4. Difference between the corresponding roots of x^(2)+ax+b=0" and "x^(2)...

    Text Solution

    |

  5. Product of real roots of the equation x^(2)+|x|+9=0

    Text Solution

    |

  6. If p and q are the roots of the equation x^(2)+px+q=0, then

    Text Solution

    |

  7. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

    Text Solution

    |

  8. The value of a for which one root of the quadratic equation (a^(2)-5a+...

    Text Solution

    |

  9. If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equ...

    Text Solution

    |

  10. The number of real solution of the equation x^(2)-3|x|+2=0 is

    Text Solution

    |

  11. If ((1+i)/(1-i))^(x)=1, then

    Text Solution

    |

  12. If z and omega are two non-zero complex numbers such that |z omega|=1"...

    Text Solution

    |

  13. Let z(1)" and "z(2) be two roots of the equation z^(2)+az+b=0, z being...

    Text Solution

    |

  14. Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...

    Text Solution

    |

  15. If (1-p) is a root of quadratic equation x^(2)+px+(1-p)=0 then its roo...

    Text Solution

    |

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

    Text Solution

    |

  17. Let z, omega be complex numbers such that bar(z)+ibar(omega)=0" and "a...

    Text Solution

    |

  18. If z= x-iy" and "z^(1/3)= p+iq, then (((x)/(p)+(y)/(q)))/((p^(2)+q^(2)...

    Text Solution

    |

  19. If |z^(2)-1|=|z^(2)|+1, then z lies on

    Text Solution

    |

  20. If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...

    Text Solution

    |