Home
Class 10
MATHS
If a and b are the roots of the polyno...

If a and b are the roots of the polynomial `f(x)=x^(2)-2x+3`, find the polynomial whose roots are
`alpha+2beta`

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION THINKING CORNER|6 Videos

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION THINKING CORNER (Say True or False:)|1 Videos

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 3.19 (Multiple Choice Questions)|20 Videos

  • CO-ORDINATE GEOMETRY

    PREMIERS PUBLISHERS|Exercise Other Important Objective|25 Videos

Similar Questions

Explore conceptually related problems

If a and b are the roots of the polynomial f(x)=x^(2)-2x+3 , find the polynomial whose roots are (alpha+2),(beta+2)'

If a and b are the roots of the polynomial f(x)=x^(2)-2x+3 , find the polynomial whose roots are (alpha-1)/(alpha+1), (beta-1)/(beta+1)

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 2alpha + beta and 2beta + alpha

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

PREMIERS PUBLISHERS-ALGEBRA-SOLUTION TO UNIT EXERCISE
  1. Find the least number common multiple of xy(k^(2)+1)+k(x^(2)+y^(2)) an...

    Text Solution

    |

  2. Find the GCD of following by division algorithm 2x^(4)+13x^(3)+27x^(2)...

    Text Solution

    |

  3. Reduce the given Rational expression to its lowest form (x^(3a)-8)/(...

    Text Solution

    |

  4. Reduce the given Rational expression to its lowest form (10x^(3)-25x...

    Text Solution

    |

  5. Simplify ((1)/(p)+(1)/(q+r))/((1)/(p)-(1)/(q+r))times[1+(q^(2)+r^(2)-p...

    Text Solution

    |

  6. Arul, Ravi, and Ram working together can clean a store in 6 hours. Wor...

    Text Solution

    |

  7. Find the square root of 289x^(4)-612x^(3)+970x^(2)-684x+361.

    Text Solution

    |

  8. Solve sqrt(y+1)+sqrt(2y-5)=3.

    Text Solution

    |

  9. A boat takes 1.6 hours longer to go 36kms up a river than down the riv...

    Text Solution

    |

  10. Is it possible to design a rectangular park of perimeter 320m and area...

    Text Solution

    |

  11. At t minutes past 2pm, the time needed to 3 pm is 3minutes less than (...

    Text Solution

    |

  12. The number of seats in a row is equal to the total number of rows in a...

    Text Solution

    |

  13. If a and b are the roots of the polynomial f(x)=x^(2)-2x+3, find the...

    Text Solution

    |

  14. If a and b are the roots of the polynomial f(x)=x^(2)-2x+3, find the...

    Text Solution

    |

  15. If -4 is a root of the equation x^(2)+px-4=0 and the equation x^(2)+px...

    Text Solution

    |

  16. Two farmers and Ravi cultivates three varieties of grains namely rice...

    Text Solution

    |

  17. Two farmers and Ravi cultivates three varieties of grains namely rice...

    Text Solution

    |

  18. If cos theta{:((cos theta, sin theta),(-sin theta, cos theta)):}+ sin ...

    Text Solution

    |

  19. Given A=[(p, 0), (0, 2)], B=[(0, q), (1, 0)], C=[(2, -2), (2, 2)] and ...

    Text Solution

    |

  20. A=[(3, 0), (4, 5)], B=[(6, 3), (8, 5)], C=[(3, 6), (1, 1)] find the ma...

    Text Solution

    |