Home
Class 11
MATHS
If alpha,beta are roots of the equation ...

If `alpha,beta` are roots of the equation `x^2+3x+7=0,t h e n 1/alpha+1/beta` is equal to (a) `7//3` (b) `-7//3` (c) `3//7` (d) `-3//7`

Text Solution

Verified by Experts

Given `alpha,beta `are roots of the equation `x^2+3x+7=0`
we can see from given quadratic equation,
`alpha+beta=−3​ and alphabeta=7`​
so,
`1/alpha+1/beta=(alpha+beta)/(alphabeta)`
=`-3/7`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|280 Videos

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are two roots of equation 5x^(2)-7x+1=0, then (1)/(alpha)+(1)/(beta) is

If alpha and beta are the roots of the equation 4x^(2)+3x+7=0, then (1)/(alpha)+(1)/(beta)=

If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the value of alpha beta:

If alpha and beta are the roots of 4x^2+3x+7=0 , the value of 1/alpha^3+1/beta^3 is

If alpha and beta are the roots of 4x^(2) + 3x +7 =0 then the value of 1/alpha + 1/beta is

If alpha,beta are the zeros of the polynomial p(x)=4x^(2)+3x+7, then (1)/(alpha)+(1)/(beta) is equal to ( a )(7)/(3)(b)-(7)/(3)(c)(3)/(7)(d)-(3)/(7)

If alpha,beta are the roots of x^(2)+7x+3=0 ,then (alpha-1)^(2)+(beta-1)^(2)=

RD SHARMA-QUADRATIC EQUATIONS-Solved Examples And Exercises
  1. The number of real roots of (x^2 +2x)^2 - (x+1)^2 - 55 = 0

    Text Solution

    |

  2. If alpha,beta are the roots of the equation a x^2+b x+c=0, then 1/(aal...

    Text Solution

    |

  3. If alpha,beta are roots of the equation x^2+3x+7=0,t h e n 1/alpha+1/b...

    Text Solution

    |

  4. The values of x satisfying (log)3(x^2+4x+12)=2 are (a) 2,-4 (b) ...

    Text Solution

    |

  5. The complete set of values of k , for which the quadratic x^2-k x+k+2...

    Text Solution

    |

  6. For the equation |x^2|+|x|-6=0 , the sum of the real roots is (a) 1 ...

    Text Solution

    |

  7. The equation of the smallest degree with real coefficients having 1+i ...

    Text Solution

    |

  8. The value of p and q for whichp ,q are the roots of the equation x^2+p...

    Text Solution

    |

  9. The number of solution of x^2+|x-1|=1 is (a) 0 (b) 1 (c) 2 (d)...

    Text Solution

    |

  10. If x is real and k=(x^2-x+1)/(x^2+x+1) , then k in [1//3,3] (b) k...

    Text Solution

    |

  11. The one root of the equation x^2+p x+12=0 is 4, while the equation x^2...

    Text Solution

    |

  12. If the equations x^2+2x+3lambda=0 and 2x^2+3x+5lambda=0 have a non-ze...

    Text Solution

    |

  13. Solve the quadratic equations by using the general expressions for t...

    Text Solution

    |

  14. Write the number of real roots of the equation (x-1)^2+(x+2)^2+(x-3)^2...

    Text Solution

    |

  15. Solve: x^2-(7-i)x+(18-i)=0

    Text Solution

    |

  16. If alpha,beta are roots of the equation x^2-p(x+1)-c=0, then write the...

    Text Solution

    |

  17. Write the roots of the equation (a-b)x^2+(b-c)x+(c-a)=0.

    Text Solution

    |

  18. The least value of k which makes the roots of the equation x^2+5x+k=0 ...

    Text Solution

    |

  19. If alpha,beta are the roots of the equation x^2+p x+q=0,t h e n-1/alph...

    Text Solution

    |

  20. Solve the equation 9x^2-12 x+20=0 by factorization method only.

    Text Solution

    |