Home
Class 11
MATHS
If alpha,beta be the roots of the equati...

If `alpha,beta` be the roots of the equation `x^(2)+lx+m=0`, then from an equation whose roots are : `(alpha+beta)^(2)and(alpha-beta)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`x^2-(2l^2-4m)x+l^2(l^2-4m)=0`
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, beta are the roots of the equation x^(2)+7x+12=0 , then the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2) is

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , then find the equation whose roots are (alpha+beta)^2a n d(alpha-beta)^2

If alpha and beta are the roots of the equation x^(2)+x-7=0 , form the equation whose roots are alpha^(2) and beta^(2) .

If alpha, beta be the roots of the equation x^2-px+q=0 then find the equation whose roots are q/(p-alpha) and q/(p-beta)

If alpha,beta are roots of the equation x^2+l x+m=0 , write an equation whose roots are -1/alpha\ and-1/beta.

If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the equation whose roots are alpha^2+2 and beta^2+2.

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

IF alpha , beta are the roots of the equation ax^2+ bx +c=0 then the quadratic equation whose roots are alpha + beta , alpha beta is

If alpha,beta are the roots of the equation x^(2)-3x+4=0 , then the equation whose roots are (alpha-2)/(alpha+2),(beta-2)/(beta+2) is

ICSE-SAMPLE QUESTION PAPER 02-SECTION B
  1. If alpha,beta be the roots of the equation x^(2)+lx+m=0, then from an ...

    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

    |