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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the zeros of the quadratic polynomial f(x)=5x^(2)-7x+1, find the value of (1)/(alpha)+(1)/(beta)

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

If alpha and beta ar the zeros of the quadratic polynomial f(x)=x^(2)+x-2, find the value of (1)/(alpha)-(1)/(beta)

If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^(2)+bx+c, then evaluate: alpha^(4)beta^(4)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-x-4, find the value of (1)/(alpha)+(1)/(beta)-alpha beta

If alpha and beta be the zeroes of the quadratic polynomial f(x)=x^2-7x-4 then alpha/beta+beta/alpha=

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-5x+4 , find the value of (1)/(alpha)+(1)/(beta)-2 alpha beta

If alpha and beta are the zeros of the quadratic polynomial p(y)=5y^(2)-7y+1, find the value of (1)/(alpha)+(1)/(beta)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-px+q, then find the values of (i)alpha^(2)+beta^(2)( ii) (1)/(alpha)+(1)/(beta)

If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^(2)+bx+c, then evaluate: (i) alpha-beta( ii) (1)/(alpha)-(1)/(beta)( iii) (1)/(alpha)+(1)/(beta)-2 alpha beta

RD SHARMA-POLYNOMIAL-All Questions
  1. If one zero of the quadratic polynomial f(x)=4x^2-8k x-9 is negative o...

    Text Solution

    |

  2. If the squared difference of the zeros of the quadratic polynomial f(x...

    Text Solution

    |

  3. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^...

    Text Solution

    |

  4. If alpha and beta are the zeros of a quadratic polynomial such that...

    Text Solution

    |

  5. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^...

    Text Solution

    |

  6. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^...

    Text Solution

    |

  7. If alpha and beta are the zeros of the quadratic polynomial f(x)=a ...

    Text Solution

    |

  8. If alpha and beta are the zeros of the quadratic polynomial f(x)=a ...

    Text Solution

    |

  9. If alpha and beta are the zeros of the quadratic polynomial f(x)=a ...

    Text Solution

    |

  10. Verify that 3,\ -1 and -1/3 are the zeros of the cubic polynomial p...

    Text Solution

    |

  11. Find a cubic polynomial with the sum, sum of the products of its zeros...

    Text Solution

    |

  12. Find the condition which must be satisfied by the coefficients of the ...

    Text Solution

    |

  13. If the two zeros of polynomial f(x) = x^3 - 4 x^2 -3x + 12 are sqrt3 a...

    Text Solution

    |

  14. Find the zeros of the polynomial f(x)=x^3-5x^2-16 x+80 , if its two ze...

    Text Solution

    |

  15. Find the zeros of the polynomial f(x)=x^3-12 x^2+39 x-28 , if it is gi...

    Text Solution

    |

  16. If the zeros of the polynomial f(x)=x^3-3x^2+x+1 are a-b ,\ \ a ,\ \ a...

    Text Solution

    |

  17. Verify that the numbers given along side of the cubic polynomial f(x)=...

    Text Solution

    |

  18. Verify that the numbers given along side of the cubic polynomial g(x)=...

    Text Solution

    |

  19. Find a cubic polynomial with the sum, sum of the product of its zeros ...

    Text Solution

    |

  20. If the zeros of the polynomial f(x)=2x^3-15 x^2+37 x-30 are in A.P....

    Text Solution

    |