Home
Class 10
MATHS
If alpha,beta, be the zeroes of the poly...

If `alpha,beta`, be the zeroes of the polynomial `2x^2+5x+k`such that `alpha^2+beta^2+alphabeta=21/4` then k=

A

2

B

-2

C

3

D

-3

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 ax^2+bx+c ,then alpha^2+beta^2 =

If alpha and beta are the zeroes of the quadratic polynomial p(x)=kx^2+4x+4 such that alpha^2+beta^2=24 then find the value of k.

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

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 and beta are the zeros of the polynomial ax^2+bx+c . Find the value of alpha^2 + beta^2 + alpha beta

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

If alpha and beta are the zeros of the polynomial ax^2+bx+c . Find the value of alpha^2 + beta^2

If alpha and beta are the zeroes of the polynomial ax^2 + bx+ c , find the values of alpha^2+beta^2

Find the zeroes of the polynomial 4sqrt3x^2-5x-2sqrt3 .

If alpha and beta are the zeroes of the polynomial ax^2 + bx+ c , find the values of alpha^2/beta + beta^2/alpha

R G PUBLICATION-POLYNOMIALS-EXAMPLES
  1. If alpha,beta, be the zeroes of the polynomial 2x^2+5x+ksuch that alph...

    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

    |