Home
Class 10
MATHS
If alpha, beta are the roots of the equa...

If `alpha, beta` are the roots of the equation `2x^(2)-x-1=0` then form the equation whose roots are `alpha^(2)beta`?

Text Solution

Verified by Experts

The correct Answer is:
`8x^(2)+2x-1=0`
Promotional Banner

Topper's Solved these Questions

  • GOVT. MODEL QUESTION PAPER-2019-20

    SURA PUBLICATION|Exercise Part-IV|6 Videos

  • GOVT. MODEL QUESTION PAPER-2019-20

    SURA PUBLICATION|Exercise Part-II|14 Videos

  • GEOMETRY

    SURA PUBLICATION|Exercise Unit Test (Section -D)|2 Videos

  • MENSURATION

    SURA PUBLICATION|Exercise Unit Test (Section -C)|2 Videos

Similar Questions

Explore conceptually related problems

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 the equation whose roots are alpha^(2)/beta and beta^(2)/alpha.

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

If alpha and beta are the roots of the equation 3x^(2) - 6x + 1 = 0 form the equation whose roots are (i) alpha^(2) beta, beta^(2) alpha (ii) 2 alpha + beta, 2beta + alpha

If alpha and beta are the roots of the equation 3x^(2)-6x+1=0 form the equation whose roots are 2alpha + beta and 2beta + alpha

If alpha , beta, gamma are the roots of the equation x^3-4x^2+3x-1=0 , then the equation whose roots are (alpha+beta+gamma), alphabetagamma is :

If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the equation whose roots are alpha^2+2a n dbeta^2+2.

SURA PUBLICATION-GOVT. MODEL QUESTION PAPER-2019-20-Part-III
  1. Let f be function f:N to N be defined by f(x)=3x+2, xin N. Find the ...

    Text Solution

    |

  2. Let f be function f:N to N be defined by f(x)=3x+2, xin N. Find the ...

    Text Solution

    |

  3. Let f be a function of f: N to N be defined by f(x)=3x+2, x in N. Fi...

    Text Solution

    |

  4. Let: f:A to B be a function defined by f(x)=(x)/(2)-1. Where A={2, 4, ...

    Text Solution

    |

  5. Let: f:A to B be a function defined by f(x)=(x)/(2)-1. Where A={2, 4, ...

    Text Solution

    |

  6. Let: f:A to B be a function defined by f(x)=(x)/(2)-1. Where A={2, 4, ...

    Text Solution

    |

  7. Let: f:A to B be a function defined by f(x)=(x)/(2)-1. Where A={2, 4, ...

    Text Solution

    |

  8. The ratio of 6th and 8th term of an A.P. is 7.9. Find the ratio of 9th...

    Text Solution

    |

  9. The sum of first n, 2n and 3n terms of an A.P. are S(1), S(2), S(3) re...

    Text Solution

    |

  10. Find the values of m and n if the following expression are perfect squ...

    Text Solution

    |

  11. If alpha, beta are the roots of the equation 2x^(2)-x-1=0 then form th...

    Text Solution

    |

  12. P and Q are the mid-points of the sides CA and CB respectively of a De...

    Text Solution

    |

  13. Find the equation of a straight line Passing through (1, -4) and has...

    Text Solution

    |

  14. From the top of the tower 60 m high the angles of depression of the to...

    Text Solution

    |

  15. Calculate the weight of a hallow brass sphere if the inner diameter is...

    Text Solution

    |

  16. Find the coefficient of variation of 24,26,33,37,29,31.

    Text Solution

    |

  17. Two dice, one blue and one grey, are thrown at the same time. Write do...

    Text Solution

    |

  18. Two dice, one blue and one grey, are thrown at the same time. Write do...

    Text Solution

    |

  19. Two dice, one blue and one grey, are thrown at the same time. Write do...

    Text Solution

    |