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

If `alpha` and `beta` are the zeros of the polynomial `f(x)=x^2+p x+q` , then a polynomial having `1/alpha` and `1/beta` as its zeros is ........................................................... (a) `x^2+q x+p` (b) `x^2-p x+q` (c) `q x^2+p x+1` (d) `p x^2+q x+1`

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)=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)=x^2-x-2, find a polynomial whose zeros are 2alpha+1 and 2beta+1.

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

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 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 alpha and beta are zeroes of the polynomial 3x^(2)+6x+1 , then find the value of alpha+beta+alpha beta .

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

If alpha,beta are zeroes of polynomial f(x) =x^(2)-p(x+1)-c , then find the value of (alpha+1)(beta+1) .

Find the condition that the zeros of the polynomial f(x)=x^3+3p x^2+3q x+r may be in A.P.

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. If one zero of the polynomial f(x)=(k^2+4)x^2+13 x+4k is reciprocal of...

    Text Solution

    |

  2. If the sum of the zeros of the polynomial f(x)=2x^3-3k x^2+4x-5 is 6, ...

    Text Solution

    |

  3. If alpha and beta are the zeros of the polynomial f(x)=x^2+p x+q , the...

    Text Solution

    |

  4. If alpha,\ beta are the zeros of polynomial f(x)=x^2-p(x+1)-c , then (...

    Text Solution

    |

  5. If alpha,\ beta are the zeros of the polynomial f(x)=x^2-p(x+1)-c such...

    Text Solution

    |

  6. Figure 2.23 show the graph of the polynomial f(x) = ax² + bx + c for w...

    Text Solution

    |

  7. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for wh...

    Text Solution

    |

  8. If the product of zeros of the polynomial f(x)=a x^3-6x^2+11 x-6 is 4,...

    Text Solution

    |

  9. If the product of two zeros of the polynomial f(x)=2x^3+6x^2-4x+9 is 3...

    Text Solution

    |

  10. If the polynomial f(x)=a x^3+b x-c is divisible by the polynomial g(x)...

    Text Solution

    |

  11. In Q. No 126, c= (a) b (b) 2b (c) 2b^2 (d) -2b

    Text Solution

    |

  12. If one root of the polynomial f(x)=5x^2+13 x+k is reciprocal of the ot...

    Text Solution

    |

  13. If alpha,\ beta,\ gamma are the zeros of the polynomial f(x)=a x^3+b x...

    Text Solution

    |

  14. If two of the zeros of the cubic polynomial a x^3+b x^2+c x+d are each...

    Text Solution

    |

  15. If two zeros of x^3+x^2-5x-5 are sqrt(5) and -sqrt(5) , then its third...

    Text Solution

    |

  16. The product of the zeros of x^3+4x^2+x-6 is .............................

    Text Solution

    |

  17. What should be added to the polynomial x^2-5x+4 , so that 3 is the zer...

    Text Solution

    |

  18. What should be subtracted to the polynomial x^2-16 x+30 , so that 15 i...

    Text Solution

    |

  19. A quadratic polynomial, the sum of whose zeroes is 0 and one zero i...

    Text Solution

    |

  20. If two zeroes of the polynomial x^3+x^2-9x-9 are 3 and -3 , then its t...

    Text Solution

    |