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

If `alpha` and `beta` are zeroes of the polynomial `f(x) = x^(2) - x - k`, such that `alpha- beta = 9`. find k.

Text Solution

Verified by Experts

The correct Answer is:
20
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC-1 DEGREE, VALUE AND ZERO OF A POLYNOMAIL (LONG ANSWER TYPE QUESTION-I)|7 Videos
  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC-1 DEGREE, VALUE AND ZERO OF A POLYNOMAIL (LONG ANSWER TYPE QUESTION- II)|2 Videos
  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC-1 DEGREE, VALUE AND ZERO OF A POLYNOMAIL (VERY SHORT ANSWER TYPE QUESTION)|13 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.7)|12 Videos
  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are zeros of the quadratic polynomial f(x) = x^(2) - p (x + 1) - c , show that (alpha + 1) (beta + 1) = 1- c

If alpha and beta are zeros of the quadratic polynomial f(x) = x^(2) - px + q , prove that (alpha^(2))/(beta^(2)) +(beta^(2))/(alpha^(2)) = (p^(4))/(q^(2)) - (4p^(2))/(q) + 2 .

If alpha and beta are zeros of polynomial 2x^(2) + 7 x + 5 " find " alpha + beta + alpha beta .

If alpha and beta are the zeroes of the polynomial 2x^2 + 5x + 1 , then the value of alpha +beta+ alpha beta is

If alpha and beta are the zeros of the polynomial p(x)=3x^(2)-12+15 , find the value of alpha^(2)+beta^(2)

If alpha and beta are zeros of the quadratic polynomial x^(2) - (k+6) x + 2 (2k -1) , find k if alpha + beta = (alpha beta)/(2)

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

If alpha and beta be the two zeroes of the quadratic polynomial p(x) = 2x^(2) - 3x + 7 , evaluate . i] alpha^(3) + beta^(3) ii] (1)/(2 alpha - 3) + (1)/( 2 beta - 3)

If one zero of the polynomial p(x) = x^(2) - 6x + k is twice the other then find the value of k .

If alpha and beta are the zeroes of the polynomial f(x) = 3x^(2)+5x+7 then find the value of (1)/(alpha^(2))+(1)/(beta^(2)) .

OSWAAL PUBLICATION-POLYNOMIALS-TOPIC-1 DEGREE, VALUE AND ZERO OF A POLYNOMAIL (SHORT ANSWER TYPE QUESTION)
  1. Find the degree of the following polynomials. x^(2)-9x+20

    Text Solution

    |

  2. Find the degree of the following polynomials. 2x+4+6x^(2)

    Text Solution

    |

  3. Find the degree of the following polynomials. x^(3)+2x^(2)-5x-6

    Text Solution

    |

  4. Find the degree of the following polynomials. x^(3)+17x-21-x^(2)

    Text Solution

    |

  5. Find the degree of the following polynomials. sqrt(3)x^(3)+19x+14

    Text Solution

    |

  6. Find the values of the following polynomials: g(x) = 7x^(2) + 2x + ...

    Text Solution

    |

  7. Find the values of the following polynomials: p(x) = -x^(3) + x^(2)...

    Text Solution

    |

  8. Find the values of the following polynomials: p(x) = 2x^(2) + (1)/(4...

    Text Solution

    |

  9. Find the values of the following polynomials: p(x) = 2x^(4) - 3x^(3)...

    Text Solution

    |

  10. Verify whether the indicated numbers are zeroes of the polynomials in ...

    Text Solution

    |

  11. Verify whether the indicated numbers are zeroes of the polynomials in ...

    Text Solution

    |

  12. Verify whether the indicated numbers are zeroes of the polynomials in ...

    Text Solution

    |

  13. Verify whether the indicated numbers are zeroes of the polynomials in ...

    Text Solution

    |

  14. Find the zeroes of the quadratic polynomial sqrt(3)x^(2)-8x+4sqrt(3)

    Text Solution

    |

  15. Find all the zeroes of f(x) = x^(2) - 2x.

    Text Solution

    |

  16. Find the values of a and b, it they are the zeroes of polynomial x^(2)...

    Text Solution

    |

  17. If alpha and beta are zeroes of the polynomial f(x) = x^(2) - x - k, s...

    Text Solution

    |

  18. If p,q are zeroes of polynomial f(x)= 2x^(2)-7x+3 find the value of p^...

    Text Solution

    |

  19. Find the condition that zeroes of polynomial p(x) = ax^(2)+bx+c are re...

    Text Solution

    |

  20. If m and n are zeroes of the polynomial 3x^(2)+11x-4 find the value ...

    Text Solution

    |