Home
Class 10
MATHS
If alpha and beta are the zeroes of the ...

If `alpha` and `beta` are the zeroes of the polynomial `x^2+6x+9` then form a polynomial whose zeroes are `-alpha` and `-beta`

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)-6x+9`
Promotional Banner

Topper's Solved these Questions

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Pair of Linear Equations in Two Variables ) (Multiple Choice Questions)|12 Videos

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Polynomials) (Very Short Answer Type Questions )|14 Videos

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Polynomials) (Short Answer Type Questions )|9 Videos

  • COORDINATE GEOMETRY

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT |20 Videos

  • INTRODUCTION TO TRIGONOMETRY

    OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the zeroes of a polynomial x^(2)-3x-4 , then the polynomial whose zeroes are (alpha+beta) and alpha beta   is:

If alpha and beta are the zeroes of the polynomial x^(2)+4x-77, then the quadratic polynomial whose zeroes are (alpha+2 beta)/(alpha+beta) and (2 alpha+beta)/(alpha+beta) can be equal to

If alpha and beta are the zeros of the polynomial f(x)=x^(2)+px+q, form a polynomial whose zeros are (alpha+beta)^(2) and (alpha-beta)^(2)

If alpha,beta are zeroes of the polynomial x^(2)-2x-15, then form a quadratic polynomial whose zeroes are (2 alpha) and (2 beta)

If alpha and beta are the zeroes of the polynomial x^(2)+4x+3=0 ,find the polynomial whose zeroes are 1+(beta)/(alpha) and 1+(alpha)/(beta)

If alpha and beta are zeroes of a quadratic polynomial x^(2)-5, then form a quadratic polynomial whose zeroes are 1+alpha and 1+beta

If alpha and beta are zeroes of the polynomial 6y^2 – 7y + 2 , find the quadratic polynomial whose zeroes are 1/alpha and 1/beta

If alpha and beta are the zeroes of the quadratic polynomial f(x)=x^(2)+x-2, then find a polynomial whose zeroes are 2 alpha+1 and 2 beta+1

If alpha and beta are zeros of the polynomial t^(2)-t-4 , form a quadratic polynomial whose zeros are (1)/(alpha) and (1)/(beta) .

OSWAL PUBLICATION-DIKSHA QUESTIONS -Unit -II : Algebra (Polynomials) (Long Answer Type Questions)
  1. If alpha and beta are the zeroes of the polynomial x^2+6x+9 then form ...

    Text Solution

    |

  2. If one zero of the quadratic polynomial f(x) = 4x^(2)-8kx +8x -9 is ne...

    Text Solution

    |

  3. Find the zeroes of the quadratic polynomial 3x^(2) -2 and verify the...

    Text Solution

    |

  4. For each of the following , find a quadratic polynomial whose sum and ...

    Text Solution

    |

  5. Obtain all the zeros of the polynomial f(x)=3x^4+6x^3-2x^2-10 x-5, if ...

    Text Solution

    |

  6. Find the zeroes of the polynomial x^(2)+1/6 x-2 Hence verify the rela...

    Text Solution

    |

  7. 4 chairs and 3 tables cost Rs 2100 and 5 chairs and 2 tables cost R...

    Text Solution

    |

  8. 5/(x-1)+1/(y-2)=2 and 6/(x-1)-3/(y-2)=1 then find the values of x and ...

    Text Solution

    |

  9. 6 (ax + by) = 3a + 2b & 6(bx-ay) = 3b-2a

    Text Solution

    |

  10. Solve: 1/x+3/y=9 1/x -4/y =2

    Text Solution

    |

  11. Solve for (x,y): 2x-3y =5 , 3x+4y = -1.

    Text Solution

    |

  12. In a two digit number , the digit in the unit place is twice of the di...

    Text Solution

    |

  13. Students are made to stand in rows . If one student is extra in a row ...

    Text Solution

    |

  14. Graphically, solve the following pair of equations 2x+y=6 and 2x-y+2...

    Text Solution

    |

  15. Solve the following system of equations by method of cross-multipli...

    Text Solution

    |

  16. Solve the following questions. (ii) A train travels 360 km with unif...

    Text Solution

    |

  17. Solve the following pair of linear equations in 2 variables: x/a +y/...

    Text Solution

    |

  18. A boat covers 32 km upstream and 36 km downstream in 7 hours . In 9 ho...

    Text Solution

    |

  19. A man travels 600 km partly by train and partly by car . It takes 8 ho...

    Text Solution

    |

  20. Solve the following system of equations graphically : 4x-3y +4 = 0 ...

    Text Solution

    |