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

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

A

c

B

1+c

C

1-c

D

c-1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    R G PUBLICATION|Exercise EXAMPLES|16 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    R G PUBLICATION|Exercise EXERCISE|84 Videos

  • PROBABILITY

    R G PUBLICATION|Exercise EXERCISE|91 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the zeroes of the polynomial f(x)=x^2+x+1 then 1/alpha+1/beta is____

If alpha,beta , are the zeroes of the polynomial ax^2+bx+c ,then alpha^2+beta^2 =

If alpha,beta,gamma ,are the zeroes of the polynomial x^3-px^2+qx-r ,then 1/(alphabeta)+1/(betagamma)+1/(gammaalpha) =? p/r -p/r r/p -r/p

If alpha,beta,gamma ,are the zeroes of the polynomial 2x^3+x^2-13x+6 then alphabetagamma =? a)3 b)-3 c) (-1)/2 d) (-13)/2

If alpha,beta,gamma be the zeroes of the polynomial x^3-6x^2-x+30 , then alphabeta+betagamma+gammaalpha =?

If alpha,beta be the zeroes of polynomial x^2-8x+k such that alpha^2+beta^2=40 then the value of k will be a)6 b)9 c)12 d)-12

If alpha,beta are the zeroes of f(x)=2x^2+6x-6 ,then a) alpha+beta+alpha beta=0 b) alpha+beta=alpha beta c) alpha+betagtalpha beta d) alpha+betaltalpha beta

If alpha and beta are the zeroes of the quadratic polynomial x^2- p(x + 1) - c=0 , show that (alpha + 1)*(beta + 1) = 1-c .

If alpha and beta are the zeroes of the polynomial p(x)=ax^2+bx+c then find the following:(v) 1/alpha^3+1/beta^3

If alpha and beta are the zeroes of the polynomial p(x)=ax^2+bx+c then find the following:(vii) alpha^2/beta+beta^2/alpha

R G PUBLICATION-POLYNOMIALS-EXAMPLES
  1. If alpha,beta are the zeroes of polynomial f(x)=x^2-p(x+1)-c,then (alp...

    Text Solution

    |

  2. Find the zeroes of the quadratic polynomial x^2+7x+12 and verify the r...

    Text Solution

    |

  3. Find the zeroes of the quadratic polynomial p(x)=2x^2+5x-12 and verify...

    Text Solution

    |

  4. Find the zeroes of the quadratic polynomial p(x)=4sqrt3x^2+5x-2sqrt3 a...

    Text Solution

    |

  5. Find the zeroes of the quadratic polynomial p(x)=abx^2+(b^2-ac)x-bc an...

    Text Solution

    |

  6. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  7. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  8. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  9. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+c then ...

    Text Solution

    |

  10. If alpha and beta are the zeroes of the polynomial p(x)=ax^2+bx+c then...

    Text Solution

    |

  11. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  12. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  13. If alpha and beta are the zeroes of the quadratic polynomial p(x)=kx^2...

    Text Solution

    |

  14. If the sum of squares of zeroes of the quadratic polynomial p(x)=x^2-8...

    Text Solution

    |

  15. Find the condition that the zeroes of the polynomial f(x)=x^3-px^2+qx-...

    Text Solution

    |

  16. Find the zeroes of the polynomial p(x)=x^3-5x^2-2x+24 if it is given t...

    Text Solution

    |

  17. Find the values of a and b such that the polynomial x^4+x^3+8x^2+ax+b ...

    Text Solution

    |