Home
Class 11
MATHS
If alpha and beta are the roots of the q...

If `alpha and beta` are the roots of the quadratic equation `px^(2)+qx+1`, Then the value of `alphabeta+alpha^(2)beta^(2)` is

A

`q/p^2`

B

`(-q)/p^2`

C

`(-q)/p^3`

D

`q/p^3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER 02

    ICSE|Exercise SECTION B|19 Videos

  • SAMPLE QUESTION PAPER 01

    ICSE|Exercise SECTION C|8 Videos

  • SAMPLE QUESTION PAPER 3

    ICSE|Exercise SECTION C|5 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of 2alpha^(2)beta^(2) is

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of (1)/(alpha beta)+(alpha+beta) is

Given the alpha + beta are the roots of the quadratic equation px^(2) + qx + 1 = 0 find the value of alpha^(3)beta^(2) + alpha^(2)beta^(3) .

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of (1)/(alpha)+(1)/(beta) is

If alpha and beta are the roots of the quadratic equation x^(2) - 4x - 6 = 0 , find the values of alpha^(2) + beta^(2) .

If alpha and beta are roots of the equation px^(2)+qx+1=0 , then the value of alpha^(3)beta^(2)+alpha^(2)beta^(3) is

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 roots of the equation x^(2)-2x+1=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha,beta are the roots of the equation x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+alpha^(-2)beta^(2) ?

If alpha and beta are roots of the equation 2x^(2)-3x-5=0 , then the value of (1)/(alpha)+(1)/(beta) is

ICSE-SAMPLE QUESTION PAPER 02-SECTION B
  1. If alpha and beta are the roots of the quadratic equation px^(2)+qx+1,...

    Text Solution

    |

  2. The eccentricity of the ellipse (x^2)/25+(y^2)/9=1 is ,

    Text Solution

    |

  3. If the distance between the points (a,2,1)and (1,-1,1) is 5, then the ...

    Text Solution

    |

  4. If the parabola of y^2=4ax passes through the point (3,2), find the le...

    Text Solution

    |

  5. Find the equation of the hyperbole with eccentricity 5/3 and foci(pm5,...

    Text Solution

    |

  6. Write the negation of the statement sum of 4 and 5 is 10 ?

    Text Solution

    |

  7. Prove that : ~(prArrq)=p^^(~q)

    Text Solution

    |

  8. Write converse and inverse of the given conditional statement: If a...

    Text Solution

    |

  9. Find the equation of the ellipse in the following case: focus is (1,2)...

    Text Solution

    |

  10. Find the eccentricity, coordinates of the foci equations of directrice...

    Text Solution

    |

  11. In what ratio the point P(-2, y, z) divides the line joining the point...

    Text Solution

    |

  12. The wholesale price index (or price relative) of rice in 2012 compare...

    Text Solution

    |

  13. Q(1) is always equal to :

    Text Solution

    |

  14. During a certain period , the cost of living index number goes from 11...

    Text Solution

    |

  15. Find the Q1 and Q2 for the follwing distrbution . 2,4,3,7,8,9,1,14,18,...

    Text Solution

    |

  16. Compute D3 for the following distribution : {:("Marks",0-10,10-20,20...

    Text Solution

    |

  17. The mean weight of 150 students in a certain class is 60 kg. The mean ...

    Text Solution

    |

  18. The length of 50 ears of barley (to the nearest millimeter) gave the f...

    Text Solution

    |

  19. Find the correlation coefficient r(x,y) if : n = 10 ,sumx=60, sumy=...

    Text Solution

    |

  20. Ten students got the following percentages of marks in Mathematics and...

    Text Solution

    |