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)=a x^2+b x+c` , then evaluate: (i) `alpha-beta` (ii) `1/alpha-1/beta` (iii) `1/alpha+1/beta-2alphabeta`

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos
  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the zeros of the quadratic polynomial f(x)=a x^2+b x+c , then evaluate: (i) alpha^2beta+alphabeta^2 (ii) alpha^4+beta^4 (iii) 1/(aalpha+b)+1/(abeta+b)

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

If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=a x^2+b x+c , then evaluate: alpha^2+beta^2 (ii) alpha/beta+beta/alpha (iii) alpha^3+beta^3 1/(alpha^3)+1/(beta^3) (v) (alpha^2)/beta+(beta^2)/alpha

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-alphabeta .

If alpha and beta are the zeros of the quadratic polynomial f(x)=a x^2+b x+c , then evaluate: (i) beta/(aalpha+b)+alpha/(abeta+b) (ii) a((alpha^2)/beta+(beta^2)/alpha)+b(alpha/beta+beta/alpha)

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 are the zeros of the quadratic polynomial f(x)=6x^2+x-2 , find the value of alpha/beta+beta/alpha .

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

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 .

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 .

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Find the condition that the zeros of the polynomial f(x)=x^3+3p x^2+3q...

    Text Solution

    |

  18. If the zeros of the polynomial f(x)=a x^3+3b x^2+3c x+d are in A.P., p...

    Text Solution

    |

  19. If the zeros of the polynomial f(x)=x^3-12 x^2+39 x+k are in A.P., fin...

    Text Solution

    |

  20. Divide the polynomial f(x)=14 x^3-5x^2+9x-1 by the polynomial g(x)=2x-...

    Text Solution

    |